#ifndef CONSTANTES
#define CONSTANTES

#include <math.h>

#define NB_DEGRES            2

#define _N                   7168 // Nombre de Variables
#define _K                   3072 // Nombre de Checks   
#define _M                   23552 // Nombre de Messages 

#define NOEUD   _N
#define MESSAGE _M

#define NmoinsK     (_N-_K)

#define DEG_1                10
#define DEG_2                3

#define DEG_1_COMPUTATIONS   2048
#define DEG_2_COMPUTATIONS   1024

#define NB_ITERATIONS        20
#define NB_BITS_VARIABLES    8 //8
#define NB_BITS_MESSAGES     6 //6
#define SAT_POS_VAR  ( (0x0001<<(NB_BITS_VARIABLES-1))-1)
#define SAT_NEG_VAR  (-(0x0001<<(NB_BITS_VARIABLES-1))+1)
#define SAT_POS_MSG  ( (0x0001<<(NB_BITS_MESSAGES -1))-1)
#define SAT_NEG_MSG  (-(0x0001<<(NB_BITS_MESSAGES -1))+1)

//static float  beta         = 0.15;
//static int    FACTEUR_BETA = (0x0001<<(NB_BITS_MESSAGES/2));
//static int    BETA_FIX; // = ((int)(FACTEUR_BETA*beta))

#endif


#ifndef _PosNoeudsVariable_
#define _PosNoeudsVariable_
const unsigned short PosNoeudsVariable[23552] ={
/* msg =      0, deg = 10 */    248,    268,    623,   1024,   2048,   3072,   5120,   6385,   6585,   6907, 
/* msg =      1, deg = 10 */    249,    269,    624,   1025,   2049,   3073,   5121,   6386,   6586,   6908, 
/* msg =      2, deg = 10 */    250,    270,    625,   1026,   2050,   3074,   5122,   6387,   6587,   6909, 
/* msg =      3, deg = 10 */    251,    271,    626,   1027,   2051,   3075,   5123,   6388,   6588,   6910, 
/* msg =      4, deg = 10 */    252,    272,    627,   1028,   2052,   3076,   5124,   6389,   6589,   6911, 
/* msg =      5, deg = 10 */    253,    273,    628,   1029,   2053,   3077,   5125,   6390,   6590,   6656, 
/* msg =      6, deg = 10 */    254,    274,    629,   1030,   2054,   3078,   5126,   6391,   6591,   6657, 
/* msg =      7, deg = 10 */    255,    275,    630,   1031,   2055,   3079,   5127,   6392,   6592,   6658, 
/* msg =      8, deg = 10 */      0,    276,    631,   1032,   2056,   3080,   5128,   6393,   6593,   6659, 
/* msg =      9, deg = 10 */      1,    277,    632,   1033,   2057,   3081,   5129,   6394,   6594,   6660, 
/* msg =     10, deg = 10 */      2,    278,    633,   1034,   2058,   3082,   5130,   6395,   6595,   6661, 
/* msg =     11, deg = 10 */      3,    279,    634,   1035,   2059,   3083,   5131,   6396,   6596,   6662, 
/* msg =     12, deg = 10 */      4,    280,    635,   1036,   2060,   3084,   5132,   6397,   6597,   6663, 
/* msg =     13, deg = 10 */      5,    281,    636,   1037,   2061,   3085,   5133,   6398,   6598,   6664, 
/* msg =     14, deg = 10 */      6,    282,    637,   1038,   2062,   3086,   5134,   6399,   6599,   6665, 
/* msg =     15, deg = 10 */      7,    283,    638,   1039,   2063,   3087,   5135,   6144,   6600,   6666, 
/* msg =     16, deg = 10 */      8,    284,    639,   1040,   2064,   3088,   5136,   6145,   6601,   6667, 
/* msg =     17, deg = 10 */      9,    285,    640,   1041,   2065,   3089,   5137,   6146,   6602,   6668, 
/* msg =     18, deg = 10 */     10,    286,    641,   1042,   2066,   3090,   5138,   6147,   6603,   6669, 
/* msg =     19, deg = 10 */     11,    287,    642,   1043,   2067,   3091,   5139,   6148,   6604,   6670, 
/* msg =     20, deg = 10 */     12,    288,    643,   1044,   2068,   3092,   5140,   6149,   6605,   6671, 
/* msg =     21, deg = 10 */     13,    289,    644,   1045,   2069,   3093,   5141,   6150,   6606,   6672, 
/* msg =     22, deg = 10 */     14,    290,    645,   1046,   2070,   3094,   5142,   6151,   6607,   6673, 
/* msg =     23, deg = 10 */     15,    291,    646,   1047,   2071,   3095,   5143,   6152,   6608,   6674, 
/* msg =     24, deg = 10 */     16,    292,    647,   1048,   2072,   3096,   5144,   6153,   6609,   6675, 
/* msg =     25, deg = 10 */     17,    293,    648,   1049,   2073,   3097,   5145,   6154,   6610,   6676, 
/* msg =     26, deg = 10 */     18,    294,    649,   1050,   2074,   3098,   5146,   6155,   6611,   6677, 
/* msg =     27, deg = 10 */     19,    295,    650,   1051,   2075,   3099,   5147,   6156,   6612,   6678, 
/* msg =     28, deg = 10 */     20,    296,    651,   1052,   2076,   3100,   5148,   6157,   6613,   6679, 
/* msg =     29, deg = 10 */     21,    297,    652,   1053,   2077,   3101,   5149,   6158,   6614,   6680, 
/* msg =     30, deg = 10 */     22,    298,    653,   1054,   2078,   3102,   5150,   6159,   6615,   6681, 
/* msg =     31, deg = 10 */     23,    299,    654,   1055,   2079,   3103,   5151,   6160,   6616,   6682, 
/* msg =     32, deg = 10 */     24,    300,    655,   1056,   2080,   3104,   5152,   6161,   6617,   6683, 
/* msg =     33, deg = 10 */     25,    301,    656,   1057,   2081,   3105,   5153,   6162,   6618,   6684, 
/* msg =     34, deg = 10 */     26,    302,    657,   1058,   2082,   3106,   5154,   6163,   6619,   6685, 
/* msg =     35, deg = 10 */     27,    303,    658,   1059,   2083,   3107,   5155,   6164,   6620,   6686, 
/* msg =     36, deg = 10 */     28,    304,    659,   1060,   2084,   3108,   5156,   6165,   6621,   6687, 
/* msg =     37, deg = 10 */     29,    305,    660,   1061,   2085,   3109,   5157,   6166,   6622,   6688, 
/* msg =     38, deg = 10 */     30,    306,    661,   1062,   2086,   3110,   5158,   6167,   6623,   6689, 
/* msg =     39, deg = 10 */     31,    307,    662,   1063,   2087,   3111,   5159,   6168,   6624,   6690, 
/* msg =     40, deg = 10 */     32,    308,    663,   1064,   2088,   3112,   5160,   6169,   6625,   6691, 
/* msg =     41, deg = 10 */     33,    309,    664,   1065,   2089,   3113,   5161,   6170,   6626,   6692, 
/* msg =     42, deg = 10 */     34,    310,    665,   1066,   2090,   3114,   5162,   6171,   6627,   6693, 
/* msg =     43, deg = 10 */     35,    311,    666,   1067,   2091,   3115,   5163,   6172,   6628,   6694, 
/* msg =     44, deg = 10 */     36,    312,    667,   1068,   2092,   3116,   5164,   6173,   6629,   6695, 
/* msg =     45, deg = 10 */     37,    313,    668,   1069,   2093,   3117,   5165,   6174,   6630,   6696, 
/* msg =     46, deg = 10 */     38,    314,    669,   1070,   2094,   3118,   5166,   6175,   6631,   6697, 
/* msg =     47, deg = 10 */     39,    315,    670,   1071,   2095,   3119,   5167,   6176,   6632,   6698, 
/* msg =     48, deg = 10 */     40,    316,    671,   1072,   2096,   3120,   5168,   6177,   6633,   6699, 
/* msg =     49, deg = 10 */     41,    317,    672,   1073,   2097,   3121,   5169,   6178,   6634,   6700, 
/* msg =     50, deg = 10 */     42,    318,    673,   1074,   2098,   3122,   5170,   6179,   6635,   6701, 
/* msg =     51, deg = 10 */     43,    319,    674,   1075,   2099,   3123,   5171,   6180,   6636,   6702, 
/* msg =     52, deg = 10 */     44,    320,    675,   1076,   2100,   3124,   5172,   6181,   6637,   6703, 
/* msg =     53, deg = 10 */     45,    321,    676,   1077,   2101,   3125,   5173,   6182,   6638,   6704, 
/* msg =     54, deg = 10 */     46,    322,    677,   1078,   2102,   3126,   5174,   6183,   6639,   6705, 
/* msg =     55, deg = 10 */     47,    323,    678,   1079,   2103,   3127,   5175,   6184,   6640,   6706, 
/* msg =     56, deg = 10 */     48,    324,    679,   1080,   2104,   3128,   5176,   6185,   6641,   6707, 
/* msg =     57, deg = 10 */     49,    325,    680,   1081,   2105,   3129,   5177,   6186,   6642,   6708, 
/* msg =     58, deg = 10 */     50,    326,    681,   1082,   2106,   3130,   5178,   6187,   6643,   6709, 
/* msg =     59, deg = 10 */     51,    327,    682,   1083,   2107,   3131,   5179,   6188,   6644,   6710, 
/* msg =     60, deg = 10 */     52,    328,    683,   1084,   2108,   3132,   5180,   6189,   6645,   6711, 
/* msg =     61, deg = 10 */     53,    329,    684,   1085,   2109,   3133,   5181,   6190,   6646,   6712, 
/* msg =     62, deg = 10 */     54,    330,    685,   1086,   2110,   3134,   5182,   6191,   6647,   6713, 
/* msg =     63, deg = 10 */     55,    331,    686,   1087,   2111,   3135,   5183,   6192,   6648,   6714, 
/* msg =     64, deg = 10 */     56,    332,    687,   1088,   2112,   3136,   5184,   6193,   6649,   6715, 
/* msg =     65, deg = 10 */     57,    333,    688,   1089,   2113,   3137,   5185,   6194,   6650,   6716, 
/* msg =     66, deg = 10 */     58,    334,    689,   1090,   2114,   3138,   5186,   6195,   6651,   6717, 
/* msg =     67, deg = 10 */     59,    335,    690,   1091,   2115,   3139,   5187,   6196,   6652,   6718, 
/* msg =     68, deg = 10 */     60,    336,    691,   1092,   2116,   3140,   5188,   6197,   6653,   6719, 
/* msg =     69, deg = 10 */     61,    337,    692,   1093,   2117,   3141,   5189,   6198,   6654,   6720, 
/* msg =     70, deg = 10 */     62,    338,    693,   1094,   2118,   3142,   5190,   6199,   6655,   6721, 
/* msg =     71, deg = 10 */     63,    339,    694,   1095,   2119,   3143,   5191,   6200,   6400,   6722, 
/* msg =     72, deg = 10 */     64,    340,    695,   1096,   2120,   3144,   5192,   6201,   6401,   6723, 
/* msg =     73, deg = 10 */     65,    341,    696,   1097,   2121,   3145,   5193,   6202,   6402,   6724, 
/* msg =     74, deg = 10 */     66,    342,    697,   1098,   2122,   3146,   5194,   6203,   6403,   6725, 
/* msg =     75, deg = 10 */     67,    343,    698,   1099,   2123,   3147,   5195,   6204,   6404,   6726, 
/* msg =     76, deg = 10 */     68,    344,    699,   1100,   2124,   3148,   5196,   6205,   6405,   6727, 
/* msg =     77, deg = 10 */     69,    345,    700,   1101,   2125,   3149,   5197,   6206,   6406,   6728, 
/* msg =     78, deg = 10 */     70,    346,    701,   1102,   2126,   3150,   5198,   6207,   6407,   6729, 
/* msg =     79, deg = 10 */     71,    347,    702,   1103,   2127,   3151,   5199,   6208,   6408,   6730, 
/* msg =     80, deg = 10 */     72,    348,    703,   1104,   2128,   3152,   5200,   6209,   6409,   6731, 
/* msg =     81, deg = 10 */     73,    349,    704,   1105,   2129,   3153,   5201,   6210,   6410,   6732, 
/* msg =     82, deg = 10 */     74,    350,    705,   1106,   2130,   3154,   5202,   6211,   6411,   6733, 
/* msg =     83, deg = 10 */     75,    351,    706,   1107,   2131,   3155,   5203,   6212,   6412,   6734, 
/* msg =     84, deg = 10 */     76,    352,    707,   1108,   2132,   3156,   5204,   6213,   6413,   6735, 
/* msg =     85, deg = 10 */     77,    353,    708,   1109,   2133,   3157,   5205,   6214,   6414,   6736, 
/* msg =     86, deg = 10 */     78,    354,    709,   1110,   2134,   3158,   5206,   6215,   6415,   6737, 
/* msg =     87, deg = 10 */     79,    355,    710,   1111,   2135,   3159,   5207,   6216,   6416,   6738, 
/* msg =     88, deg = 10 */     80,    356,    711,   1112,   2136,   3160,   5208,   6217,   6417,   6739, 
/* msg =     89, deg = 10 */     81,    357,    712,   1113,   2137,   3161,   5209,   6218,   6418,   6740, 
/* msg =     90, deg = 10 */     82,    358,    713,   1114,   2138,   3162,   5210,   6219,   6419,   6741, 
/* msg =     91, deg = 10 */     83,    359,    714,   1115,   2139,   3163,   5211,   6220,   6420,   6742, 
/* msg =     92, deg = 10 */     84,    360,    715,   1116,   2140,   3164,   5212,   6221,   6421,   6743, 
/* msg =     93, deg = 10 */     85,    361,    716,   1117,   2141,   3165,   5213,   6222,   6422,   6744, 
/* msg =     94, deg = 10 */     86,    362,    717,   1118,   2142,   3166,   5214,   6223,   6423,   6745, 
/* msg =     95, deg = 10 */     87,    363,    718,   1119,   2143,   3167,   5215,   6224,   6424,   6746, 
/* msg =     96, deg = 10 */     88,    364,    719,   1120,   2144,   3168,   5216,   6225,   6425,   6747, 
/* msg =     97, deg = 10 */     89,    365,    720,   1121,   2145,   3169,   5217,   6226,   6426,   6748, 
/* msg =     98, deg = 10 */     90,    366,    721,   1122,   2146,   3170,   5218,   6227,   6427,   6749, 
/* msg =     99, deg = 10 */     91,    367,    722,   1123,   2147,   3171,   5219,   6228,   6428,   6750, 
/* msg =    100, deg = 10 */     92,    368,    723,   1124,   2148,   3172,   5220,   6229,   6429,   6751, 
/* msg =    101, deg = 10 */     93,    369,    724,   1125,   2149,   3173,   5221,   6230,   6430,   6752, 
/* msg =    102, deg = 10 */     94,    370,    725,   1126,   2150,   3174,   5222,   6231,   6431,   6753, 
/* msg =    103, deg = 10 */     95,    371,    726,   1127,   2151,   3175,   5223,   6232,   6432,   6754, 
/* msg =    104, deg = 10 */     96,    372,    727,   1128,   2152,   3176,   5224,   6233,   6433,   6755, 
/* msg =    105, deg = 10 */     97,    373,    728,   1129,   2153,   3177,   5225,   6234,   6434,   6756, 
/* msg =    106, deg = 10 */     98,    374,    729,   1130,   2154,   3178,   5226,   6235,   6435,   6757, 
/* msg =    107, deg = 10 */     99,    375,    730,   1131,   2155,   3179,   5227,   6236,   6436,   6758, 
/* msg =    108, deg = 10 */    100,    376,    731,   1132,   2156,   3180,   5228,   6237,   6437,   6759, 
/* msg =    109, deg = 10 */    101,    377,    732,   1133,   2157,   3181,   5229,   6238,   6438,   6760, 
/* msg =    110, deg = 10 */    102,    378,    733,   1134,   2158,   3182,   5230,   6239,   6439,   6761, 
/* msg =    111, deg = 10 */    103,    379,    734,   1135,   2159,   3183,   5231,   6240,   6440,   6762, 
/* msg =    112, deg = 10 */    104,    380,    735,   1136,   2160,   3184,   5232,   6241,   6441,   6763, 
/* msg =    113, deg = 10 */    105,    381,    736,   1137,   2161,   3185,   5233,   6242,   6442,   6764, 
/* msg =    114, deg = 10 */    106,    382,    737,   1138,   2162,   3186,   5234,   6243,   6443,   6765, 
/* msg =    115, deg = 10 */    107,    383,    738,   1139,   2163,   3187,   5235,   6244,   6444,   6766, 
/* msg =    116, deg = 10 */    108,    384,    739,   1140,   2164,   3188,   5236,   6245,   6445,   6767, 
/* msg =    117, deg = 10 */    109,    385,    740,   1141,   2165,   3189,   5237,   6246,   6446,   6768, 
/* msg =    118, deg = 10 */    110,    386,    741,   1142,   2166,   3190,   5238,   6247,   6447,   6769, 
/* msg =    119, deg = 10 */    111,    387,    742,   1143,   2167,   3191,   5239,   6248,   6448,   6770, 
/* msg =    120, deg = 10 */    112,    388,    743,   1144,   2168,   3192,   5240,   6249,   6449,   6771, 
/* msg =    121, deg = 10 */    113,    389,    744,   1145,   2169,   3193,   5241,   6250,   6450,   6772, 
/* msg =    122, deg = 10 */    114,    390,    745,   1146,   2170,   3194,   5242,   6251,   6451,   6773, 
/* msg =    123, deg = 10 */    115,    391,    746,   1147,   2171,   3195,   5243,   6252,   6452,   6774, 
/* msg =    124, deg = 10 */    116,    392,    747,   1148,   2172,   3196,   5244,   6253,   6453,   6775, 
/* msg =    125, deg = 10 */    117,    393,    748,   1149,   2173,   3197,   5245,   6254,   6454,   6776, 
/* msg =    126, deg = 10 */    118,    394,    749,   1150,   2174,   3198,   5246,   6255,   6455,   6777, 
/* msg =    127, deg = 10 */    119,    395,    750,   1151,   2175,   3199,   5247,   6256,   6456,   6778, 
/* msg =    128, deg = 10 */    120,    396,    751,   1152,   2176,   3200,   5248,   6257,   6457,   6779, 
/* msg =    129, deg = 10 */    121,    397,    752,   1153,   2177,   3201,   5249,   6258,   6458,   6780, 
/* msg =    130, deg = 10 */    122,    398,    753,   1154,   2178,   3202,   5250,   6259,   6459,   6781, 
/* msg =    131, deg = 10 */    123,    399,    754,   1155,   2179,   3203,   5251,   6260,   6460,   6782, 
/* msg =    132, deg = 10 */    124,    400,    755,   1156,   2180,   3204,   5252,   6261,   6461,   6783, 
/* msg =    133, deg = 10 */    125,    401,    756,   1157,   2181,   3205,   5253,   6262,   6462,   6784, 
/* msg =    134, deg = 10 */    126,    402,    757,   1158,   2182,   3206,   5254,   6263,   6463,   6785, 
/* msg =    135, deg = 10 */    127,    403,    758,   1159,   2183,   3207,   5255,   6264,   6464,   6786, 
/* msg =    136, deg = 10 */    128,    404,    759,   1160,   2184,   3208,   5256,   6265,   6465,   6787, 
/* msg =    137, deg = 10 */    129,    405,    760,   1161,   2185,   3209,   5257,   6266,   6466,   6788, 
/* msg =    138, deg = 10 */    130,    406,    761,   1162,   2186,   3210,   5258,   6267,   6467,   6789, 
/* msg =    139, deg = 10 */    131,    407,    762,   1163,   2187,   3211,   5259,   6268,   6468,   6790, 
/* msg =    140, deg = 10 */    132,    408,    763,   1164,   2188,   3212,   5260,   6269,   6469,   6791, 
/* msg =    141, deg = 10 */    133,    409,    764,   1165,   2189,   3213,   5261,   6270,   6470,   6792, 
/* msg =    142, deg = 10 */    134,    410,    765,   1166,   2190,   3214,   5262,   6271,   6471,   6793, 
/* msg =    143, deg = 10 */    135,    411,    766,   1167,   2191,   3215,   5263,   6272,   6472,   6794, 
/* msg =    144, deg = 10 */    136,    412,    767,   1168,   2192,   3216,   5264,   6273,   6473,   6795, 
/* msg =    145, deg = 10 */    137,    413,    512,   1169,   2193,   3217,   5265,   6274,   6474,   6796, 
/* msg =    146, deg = 10 */    138,    414,    513,   1170,   2194,   3218,   5266,   6275,   6475,   6797, 
/* msg =    147, deg = 10 */    139,    415,    514,   1171,   2195,   3219,   5267,   6276,   6476,   6798, 
/* msg =    148, deg = 10 */    140,    416,    515,   1172,   2196,   3220,   5268,   6277,   6477,   6799, 
/* msg =    149, deg = 10 */    141,    417,    516,   1173,   2197,   3221,   5269,   6278,   6478,   6800, 
/* msg =    150, deg = 10 */    142,    418,    517,   1174,   2198,   3222,   5270,   6279,   6479,   6801, 
/* msg =    151, deg = 10 */    143,    419,    518,   1175,   2199,   3223,   5271,   6280,   6480,   6802, 
/* msg =    152, deg = 10 */    144,    420,    519,   1176,   2200,   3224,   5272,   6281,   6481,   6803, 
/* msg =    153, deg = 10 */    145,    421,    520,   1177,   2201,   3225,   5273,   6282,   6482,   6804, 
/* msg =    154, deg = 10 */    146,    422,    521,   1178,   2202,   3226,   5274,   6283,   6483,   6805, 
/* msg =    155, deg = 10 */    147,    423,    522,   1179,   2203,   3227,   5275,   6284,   6484,   6806, 
/* msg =    156, deg = 10 */    148,    424,    523,   1180,   2204,   3228,   5276,   6285,   6485,   6807, 
/* msg =    157, deg = 10 */    149,    425,    524,   1181,   2205,   3229,   5277,   6286,   6486,   6808, 
/* msg =    158, deg = 10 */    150,    426,    525,   1182,   2206,   3230,   5278,   6287,   6487,   6809, 
/* msg =    159, deg = 10 */    151,    427,    526,   1183,   2207,   3231,   5279,   6288,   6488,   6810, 
/* msg =    160, deg = 10 */    152,    428,    527,   1184,   2208,   3232,   5280,   6289,   6489,   6811, 
/* msg =    161, deg = 10 */    153,    429,    528,   1185,   2209,   3233,   5281,   6290,   6490,   6812, 
/* msg =    162, deg = 10 */    154,    430,    529,   1186,   2210,   3234,   5282,   6291,   6491,   6813, 
/* msg =    163, deg = 10 */    155,    431,    530,   1187,   2211,   3235,   5283,   6292,   6492,   6814, 
/* msg =    164, deg = 10 */    156,    432,    531,   1188,   2212,   3236,   5284,   6293,   6493,   6815, 
/* msg =    165, deg = 10 */    157,    433,    532,   1189,   2213,   3237,   5285,   6294,   6494,   6816, 
/* msg =    166, deg = 10 */    158,    434,    533,   1190,   2214,   3238,   5286,   6295,   6495,   6817, 
/* msg =    167, deg = 10 */    159,    435,    534,   1191,   2215,   3239,   5287,   6296,   6496,   6818, 
/* msg =    168, deg = 10 */    160,    436,    535,   1192,   2216,   3240,   5288,   6297,   6497,   6819, 
/* msg =    169, deg = 10 */    161,    437,    536,   1193,   2217,   3241,   5289,   6298,   6498,   6820, 
/* msg =    170, deg = 10 */    162,    438,    537,   1194,   2218,   3242,   5290,   6299,   6499,   6821, 
/* msg =    171, deg = 10 */    163,    439,    538,   1195,   2219,   3243,   5291,   6300,   6500,   6822, 
/* msg =    172, deg = 10 */    164,    440,    539,   1196,   2220,   3244,   5292,   6301,   6501,   6823, 
/* msg =    173, deg = 10 */    165,    441,    540,   1197,   2221,   3245,   5293,   6302,   6502,   6824, 
/* msg =    174, deg = 10 */    166,    442,    541,   1198,   2222,   3246,   5294,   6303,   6503,   6825, 
/* msg =    175, deg = 10 */    167,    443,    542,   1199,   2223,   3247,   5295,   6304,   6504,   6826, 
/* msg =    176, deg = 10 */    168,    444,    543,   1200,   2224,   3248,   5296,   6305,   6505,   6827, 
/* msg =    177, deg = 10 */    169,    445,    544,   1201,   2225,   3249,   5297,   6306,   6506,   6828, 
/* msg =    178, deg = 10 */    170,    446,    545,   1202,   2226,   3250,   5298,   6307,   6507,   6829, 
/* msg =    179, deg = 10 */    171,    447,    546,   1203,   2227,   3251,   5299,   6308,   6508,   6830, 
/* msg =    180, deg = 10 */    172,    448,    547,   1204,   2228,   3252,   5300,   6309,   6509,   6831, 
/* msg =    181, deg = 10 */    173,    449,    548,   1205,   2229,   3253,   5301,   6310,   6510,   6832, 
/* msg =    182, deg = 10 */    174,    450,    549,   1206,   2230,   3254,   5302,   6311,   6511,   6833, 
/* msg =    183, deg = 10 */    175,    451,    550,   1207,   2231,   3255,   5303,   6312,   6512,   6834, 
/* msg =    184, deg = 10 */    176,    452,    551,   1208,   2232,   3256,   5304,   6313,   6513,   6835, 
/* msg =    185, deg = 10 */    177,    453,    552,   1209,   2233,   3257,   5305,   6314,   6514,   6836, 
/* msg =    186, deg = 10 */    178,    454,    553,   1210,   2234,   3258,   5306,   6315,   6515,   6837, 
/* msg =    187, deg = 10 */    179,    455,    554,   1211,   2235,   3259,   5307,   6316,   6516,   6838, 
/* msg =    188, deg = 10 */    180,    456,    555,   1212,   2236,   3260,   5308,   6317,   6517,   6839, 
/* msg =    189, deg = 10 */    181,    457,    556,   1213,   2237,   3261,   5309,   6318,   6518,   6840, 
/* msg =    190, deg = 10 */    182,    458,    557,   1214,   2238,   3262,   5310,   6319,   6519,   6841, 
/* msg =    191, deg = 10 */    183,    459,    558,   1215,   2239,   3263,   5311,   6320,   6520,   6842, 
/* msg =    192, deg = 10 */    184,    460,    559,   1216,   2240,   3264,   5312,   6321,   6521,   6843, 
/* msg =    193, deg = 10 */    185,    461,    560,   1217,   2241,   3265,   5313,   6322,   6522,   6844, 
/* msg =    194, deg = 10 */    186,    462,    561,   1218,   2242,   3266,   5314,   6323,   6523,   6845, 
/* msg =    195, deg = 10 */    187,    463,    562,   1219,   2243,   3267,   5315,   6324,   6524,   6846, 
/* msg =    196, deg = 10 */    188,    464,    563,   1220,   2244,   3268,   5316,   6325,   6525,   6847, 
/* msg =    197, deg = 10 */    189,    465,    564,   1221,   2245,   3269,   5317,   6326,   6526,   6848, 
/* msg =    198, deg = 10 */    190,    466,    565,   1222,   2246,   3270,   5318,   6327,   6527,   6849, 
/* msg =    199, deg = 10 */    191,    467,    566,   1223,   2247,   3271,   5319,   6328,   6528,   6850, 
/* msg =    200, deg = 10 */    192,    468,    567,   1224,   2248,   3272,   5320,   6329,   6529,   6851, 
/* msg =    201, deg = 10 */    193,    469,    568,   1225,   2249,   3273,   5321,   6330,   6530,   6852, 
/* msg =    202, deg = 10 */    194,    470,    569,   1226,   2250,   3274,   5322,   6331,   6531,   6853, 
/* msg =    203, deg = 10 */    195,    471,    570,   1227,   2251,   3275,   5323,   6332,   6532,   6854, 
/* msg =    204, deg = 10 */    196,    472,    571,   1228,   2252,   3276,   5324,   6333,   6533,   6855, 
/* msg =    205, deg = 10 */    197,    473,    572,   1229,   2253,   3277,   5325,   6334,   6534,   6856, 
/* msg =    206, deg = 10 */    198,    474,    573,   1230,   2254,   3278,   5326,   6335,   6535,   6857, 
/* msg =    207, deg = 10 */    199,    475,    574,   1231,   2255,   3279,   5327,   6336,   6536,   6858, 
/* msg =    208, deg = 10 */    200,    476,    575,   1232,   2256,   3280,   5328,   6337,   6537,   6859, 
/* msg =    209, deg = 10 */    201,    477,    576,   1233,   2257,   3281,   5329,   6338,   6538,   6860, 
/* msg =    210, deg = 10 */    202,    478,    577,   1234,   2258,   3282,   5330,   6339,   6539,   6861, 
/* msg =    211, deg = 10 */    203,    479,    578,   1235,   2259,   3283,   5331,   6340,   6540,   6862, 
/* msg =    212, deg = 10 */    204,    480,    579,   1236,   2260,   3284,   5332,   6341,   6541,   6863, 
/* msg =    213, deg = 10 */    205,    481,    580,   1237,   2261,   3285,   5333,   6342,   6542,   6864, 
/* msg =    214, deg = 10 */    206,    482,    581,   1238,   2262,   3286,   5334,   6343,   6543,   6865, 
/* msg =    215, deg = 10 */    207,    483,    582,   1239,   2263,   3287,   5335,   6344,   6544,   6866, 
/* msg =    216, deg = 10 */    208,    484,    583,   1240,   2264,   3288,   5336,   6345,   6545,   6867, 
/* msg =    217, deg = 10 */    209,    485,    584,   1241,   2265,   3289,   5337,   6346,   6546,   6868, 
/* msg =    218, deg = 10 */    210,    486,    585,   1242,   2266,   3290,   5338,   6347,   6547,   6869, 
/* msg =    219, deg = 10 */    211,    487,    586,   1243,   2267,   3291,   5339,   6348,   6548,   6870, 
/* msg =    220, deg = 10 */    212,    488,    587,   1244,   2268,   3292,   5340,   6349,   6549,   6871, 
/* msg =    221, deg = 10 */    213,    489,    588,   1245,   2269,   3293,   5341,   6350,   6550,   6872, 
/* msg =    222, deg = 10 */    214,    490,    589,   1246,   2270,   3294,   5342,   6351,   6551,   6873, 
/* msg =    223, deg = 10 */    215,    491,    590,   1247,   2271,   3295,   5343,   6352,   6552,   6874, 
/* msg =    224, deg = 10 */    216,    492,    591,   1248,   2272,   3296,   5344,   6353,   6553,   6875, 
/* msg =    225, deg = 10 */    217,    493,    592,   1249,   2273,   3297,   5345,   6354,   6554,   6876, 
/* msg =    226, deg = 10 */    218,    494,    593,   1250,   2274,   3298,   5346,   6355,   6555,   6877, 
/* msg =    227, deg = 10 */    219,    495,    594,   1251,   2275,   3299,   5347,   6356,   6556,   6878, 
/* msg =    228, deg = 10 */    220,    496,    595,   1252,   2276,   3300,   5348,   6357,   6557,   6879, 
/* msg =    229, deg = 10 */    221,    497,    596,   1253,   2277,   3301,   5349,   6358,   6558,   6880, 
/* msg =    230, deg = 10 */    222,    498,    597,   1254,   2278,   3302,   5350,   6359,   6559,   6881, 
/* msg =    231, deg = 10 */    223,    499,    598,   1255,   2279,   3303,   5351,   6360,   6560,   6882, 
/* msg =    232, deg = 10 */    224,    500,    599,   1256,   2280,   3304,   5352,   6361,   6561,   6883, 
/* msg =    233, deg = 10 */    225,    501,    600,   1257,   2281,   3305,   5353,   6362,   6562,   6884, 
/* msg =    234, deg = 10 */    226,    502,    601,   1258,   2282,   3306,   5354,   6363,   6563,   6885, 
/* msg =    235, deg = 10 */    227,    503,    602,   1259,   2283,   3307,   5355,   6364,   6564,   6886, 
/* msg =    236, deg = 10 */    228,    504,    603,   1260,   2284,   3308,   5356,   6365,   6565,   6887, 
/* msg =    237, deg = 10 */    229,    505,    604,   1261,   2285,   3309,   5357,   6366,   6566,   6888, 
/* msg =    238, deg = 10 */    230,    506,    605,   1262,   2286,   3310,   5358,   6367,   6567,   6889, 
/* msg =    239, deg = 10 */    231,    507,    606,   1263,   2287,   3311,   5359,   6368,   6568,   6890, 
/* msg =    240, deg = 10 */    232,    508,    607,   1264,   2288,   3312,   5360,   6369,   6569,   6891, 
/* msg =    241, deg = 10 */    233,    509,    608,   1265,   2289,   3313,   5361,   6370,   6570,   6892, 
/* msg =    242, deg = 10 */    234,    510,    609,   1266,   2290,   3314,   5362,   6371,   6571,   6893, 
/* msg =    243, deg = 10 */    235,    511,    610,   1267,   2291,   3315,   5363,   6372,   6572,   6894, 
/* msg =    244, deg = 10 */    236,    256,    611,   1268,   2292,   3316,   5364,   6373,   6573,   6895, 
/* msg =    245, deg = 10 */    237,    257,    612,   1269,   2293,   3317,   5365,   6374,   6574,   6896, 
/* msg =    246, deg = 10 */    238,    258,    613,   1270,   2294,   3318,   5366,   6375,   6575,   6897, 
/* msg =    247, deg = 10 */    239,    259,    614,   1271,   2295,   3319,   5367,   6376,   6576,   6898, 
/* msg =    248, deg = 10 */    240,    260,    615,   1272,   2296,   3320,   5368,   6377,   6577,   6899, 
/* msg =    249, deg = 10 */    241,    261,    616,   1273,   2297,   3321,   5369,   6378,   6578,   6900, 
/* msg =    250, deg = 10 */    242,    262,    617,   1274,   2298,   3322,   5370,   6379,   6579,   6901, 
/* msg =    251, deg = 10 */    243,    263,    618,   1275,   2299,   3323,   5371,   6380,   6580,   6902, 
/* msg =    252, deg = 10 */    244,    264,    619,   1276,   2300,   3324,   5372,   6381,   6581,   6903, 
/* msg =    253, deg = 10 */    245,    265,    620,   1277,   2301,   3325,   5373,   6382,   6582,   6904, 
/* msg =    254, deg = 10 */    246,    266,    621,   1278,   2302,   3326,   5374,   6383,   6583,   6905, 
/* msg =    255, deg = 10 */    247,    267,    622,   1279,   2303,   3327,   5375,   6384,   6584,   6906, 
/* msg =    256, deg = 10 */    311,    524,    995,   1280,   2304,   3328,   5376,   6582,   6905,   6977, 
/* msg =    257, deg = 10 */    312,    525,    996,   1281,   2305,   3329,   5377,   6583,   6906,   6978, 
/* msg =    258, deg = 10 */    313,    526,    997,   1282,   2306,   3330,   5378,   6584,   6907,   6979, 
/* msg =    259, deg = 10 */    314,    527,    998,   1283,   2307,   3331,   5379,   6585,   6908,   6980, 
/* msg =    260, deg = 10 */    315,    528,    999,   1284,   2308,   3332,   5380,   6586,   6909,   6981, 
/* msg =    261, deg = 10 */    316,    529,   1000,   1285,   2309,   3333,   5381,   6587,   6910,   6982, 
/* msg =    262, deg = 10 */    317,    530,   1001,   1286,   2310,   3334,   5382,   6588,   6911,   6983, 
/* msg =    263, deg = 10 */    318,    531,   1002,   1287,   2311,   3335,   5383,   6589,   6656,   6984, 
/* msg =    264, deg = 10 */    319,    532,   1003,   1288,   2312,   3336,   5384,   6590,   6657,   6985, 
/* msg =    265, deg = 10 */    320,    533,   1004,   1289,   2313,   3337,   5385,   6591,   6658,   6986, 
/* msg =    266, deg = 10 */    321,    534,   1005,   1290,   2314,   3338,   5386,   6592,   6659,   6987, 
/* msg =    267, deg = 10 */    322,    535,   1006,   1291,   2315,   3339,   5387,   6593,   6660,   6988, 
/* msg =    268, deg = 10 */    323,    536,   1007,   1292,   2316,   3340,   5388,   6594,   6661,   6989, 
/* msg =    269, deg = 10 */    324,    537,   1008,   1293,   2317,   3341,   5389,   6595,   6662,   6990, 
/* msg =    270, deg = 10 */    325,    538,   1009,   1294,   2318,   3342,   5390,   6596,   6663,   6991, 
/* msg =    271, deg = 10 */    326,    539,   1010,   1295,   2319,   3343,   5391,   6597,   6664,   6992, 
/* msg =    272, deg = 10 */    327,    540,   1011,   1296,   2320,   3344,   5392,   6598,   6665,   6993, 
/* msg =    273, deg = 10 */    328,    541,   1012,   1297,   2321,   3345,   5393,   6599,   6666,   6994, 
/* msg =    274, deg = 10 */    329,    542,   1013,   1298,   2322,   3346,   5394,   6600,   6667,   6995, 
/* msg =    275, deg = 10 */    330,    543,   1014,   1299,   2323,   3347,   5395,   6601,   6668,   6996, 
/* msg =    276, deg = 10 */    331,    544,   1015,   1300,   2324,   3348,   5396,   6602,   6669,   6997, 
/* msg =    277, deg = 10 */    332,    545,   1016,   1301,   2325,   3349,   5397,   6603,   6670,   6998, 
/* msg =    278, deg = 10 */    333,    546,   1017,   1302,   2326,   3350,   5398,   6604,   6671,   6999, 
/* msg =    279, deg = 10 */    334,    547,   1018,   1303,   2327,   3351,   5399,   6605,   6672,   7000, 
/* msg =    280, deg = 10 */    335,    548,   1019,   1304,   2328,   3352,   5400,   6606,   6673,   7001, 
/* msg =    281, deg = 10 */    336,    549,   1020,   1305,   2329,   3353,   5401,   6607,   6674,   7002, 
/* msg =    282, deg = 10 */    337,    550,   1021,   1306,   2330,   3354,   5402,   6608,   6675,   7003, 
/* msg =    283, deg = 10 */    338,    551,   1022,   1307,   2331,   3355,   5403,   6609,   6676,   7004, 
/* msg =    284, deg = 10 */    339,    552,   1023,   1308,   2332,   3356,   5404,   6610,   6677,   7005, 
/* msg =    285, deg = 10 */    340,    553,    768,   1309,   2333,   3357,   5405,   6611,   6678,   7006, 
/* msg =    286, deg = 10 */    341,    554,    769,   1310,   2334,   3358,   5406,   6612,   6679,   7007, 
/* msg =    287, deg = 10 */    342,    555,    770,   1311,   2335,   3359,   5407,   6613,   6680,   7008, 
/* msg =    288, deg = 10 */    343,    556,    771,   1312,   2336,   3360,   5408,   6614,   6681,   7009, 
/* msg =    289, deg = 10 */    344,    557,    772,   1313,   2337,   3361,   5409,   6615,   6682,   7010, 
/* msg =    290, deg = 10 */    345,    558,    773,   1314,   2338,   3362,   5410,   6616,   6683,   7011, 
/* msg =    291, deg = 10 */    346,    559,    774,   1315,   2339,   3363,   5411,   6617,   6684,   7012, 
/* msg =    292, deg = 10 */    347,    560,    775,   1316,   2340,   3364,   5412,   6618,   6685,   7013, 
/* msg =    293, deg = 10 */    348,    561,    776,   1317,   2341,   3365,   5413,   6619,   6686,   7014, 
/* msg =    294, deg = 10 */    349,    562,    777,   1318,   2342,   3366,   5414,   6620,   6687,   7015, 
/* msg =    295, deg = 10 */    350,    563,    778,   1319,   2343,   3367,   5415,   6621,   6688,   7016, 
/* msg =    296, deg = 10 */    351,    564,    779,   1320,   2344,   3368,   5416,   6622,   6689,   7017, 
/* msg =    297, deg = 10 */    352,    565,    780,   1321,   2345,   3369,   5417,   6623,   6690,   7018, 
/* msg =    298, deg = 10 */    353,    566,    781,   1322,   2346,   3370,   5418,   6624,   6691,   7019, 
/* msg =    299, deg = 10 */    354,    567,    782,   1323,   2347,   3371,   5419,   6625,   6692,   7020, 
/* msg =    300, deg = 10 */    355,    568,    783,   1324,   2348,   3372,   5420,   6626,   6693,   7021, 
/* msg =    301, deg = 10 */    356,    569,    784,   1325,   2349,   3373,   5421,   6627,   6694,   7022, 
/* msg =    302, deg = 10 */    357,    570,    785,   1326,   2350,   3374,   5422,   6628,   6695,   7023, 
/* msg =    303, deg = 10 */    358,    571,    786,   1327,   2351,   3375,   5423,   6629,   6696,   7024, 
/* msg =    304, deg = 10 */    359,    572,    787,   1328,   2352,   3376,   5424,   6630,   6697,   7025, 
/* msg =    305, deg = 10 */    360,    573,    788,   1329,   2353,   3377,   5425,   6631,   6698,   7026, 
/* msg =    306, deg = 10 */    361,    574,    789,   1330,   2354,   3378,   5426,   6632,   6699,   7027, 
/* msg =    307, deg = 10 */    362,    575,    790,   1331,   2355,   3379,   5427,   6633,   6700,   7028, 
/* msg =    308, deg = 10 */    363,    576,    791,   1332,   2356,   3380,   5428,   6634,   6701,   7029, 
/* msg =    309, deg = 10 */    364,    577,    792,   1333,   2357,   3381,   5429,   6635,   6702,   7030, 
/* msg =    310, deg = 10 */    365,    578,    793,   1334,   2358,   3382,   5430,   6636,   6703,   7031, 
/* msg =    311, deg = 10 */    366,    579,    794,   1335,   2359,   3383,   5431,   6637,   6704,   7032, 
/* msg =    312, deg = 10 */    367,    580,    795,   1336,   2360,   3384,   5432,   6638,   6705,   7033, 
/* msg =    313, deg = 10 */    368,    581,    796,   1337,   2361,   3385,   5433,   6639,   6706,   7034, 
/* msg =    314, deg = 10 */    369,    582,    797,   1338,   2362,   3386,   5434,   6640,   6707,   7035, 
/* msg =    315, deg = 10 */    370,    583,    798,   1339,   2363,   3387,   5435,   6641,   6708,   7036, 
/* msg =    316, deg = 10 */    371,    584,    799,   1340,   2364,   3388,   5436,   6642,   6709,   7037, 
/* msg =    317, deg = 10 */    372,    585,    800,   1341,   2365,   3389,   5437,   6643,   6710,   7038, 
/* msg =    318, deg = 10 */    373,    586,    801,   1342,   2366,   3390,   5438,   6644,   6711,   7039, 
/* msg =    319, deg = 10 */    374,    587,    802,   1343,   2367,   3391,   5439,   6645,   6712,   7040, 
/* msg =    320, deg = 10 */    375,    588,    803,   1344,   2368,   3392,   5440,   6646,   6713,   7041, 
/* msg =    321, deg = 10 */    376,    589,    804,   1345,   2369,   3393,   5441,   6647,   6714,   7042, 
/* msg =    322, deg = 10 */    377,    590,    805,   1346,   2370,   3394,   5442,   6648,   6715,   7043, 
/* msg =    323, deg = 10 */    378,    591,    806,   1347,   2371,   3395,   5443,   6649,   6716,   7044, 
/* msg =    324, deg = 10 */    379,    592,    807,   1348,   2372,   3396,   5444,   6650,   6717,   7045, 
/* msg =    325, deg = 10 */    380,    593,    808,   1349,   2373,   3397,   5445,   6651,   6718,   7046, 
/* msg =    326, deg = 10 */    381,    594,    809,   1350,   2374,   3398,   5446,   6652,   6719,   7047, 
/* msg =    327, deg = 10 */    382,    595,    810,   1351,   2375,   3399,   5447,   6653,   6720,   7048, 
/* msg =    328, deg = 10 */    383,    596,    811,   1352,   2376,   3400,   5448,   6654,   6721,   7049, 
/* msg =    329, deg = 10 */    384,    597,    812,   1353,   2377,   3401,   5449,   6655,   6722,   7050, 
/* msg =    330, deg = 10 */    385,    598,    813,   1354,   2378,   3402,   5450,   6400,   6723,   7051, 
/* msg =    331, deg = 10 */    386,    599,    814,   1355,   2379,   3403,   5451,   6401,   6724,   7052, 
/* msg =    332, deg = 10 */    387,    600,    815,   1356,   2380,   3404,   5452,   6402,   6725,   7053, 
/* msg =    333, deg = 10 */    388,    601,    816,   1357,   2381,   3405,   5453,   6403,   6726,   7054, 
/* msg =    334, deg = 10 */    389,    602,    817,   1358,   2382,   3406,   5454,   6404,   6727,   7055, 
/* msg =    335, deg = 10 */    390,    603,    818,   1359,   2383,   3407,   5455,   6405,   6728,   7056, 
/* msg =    336, deg = 10 */    391,    604,    819,   1360,   2384,   3408,   5456,   6406,   6729,   7057, 
/* msg =    337, deg = 10 */    392,    605,    820,   1361,   2385,   3409,   5457,   6407,   6730,   7058, 
/* msg =    338, deg = 10 */    393,    606,    821,   1362,   2386,   3410,   5458,   6408,   6731,   7059, 
/* msg =    339, deg = 10 */    394,    607,    822,   1363,   2387,   3411,   5459,   6409,   6732,   7060, 
/* msg =    340, deg = 10 */    395,    608,    823,   1364,   2388,   3412,   5460,   6410,   6733,   7061, 
/* msg =    341, deg = 10 */    396,    609,    824,   1365,   2389,   3413,   5461,   6411,   6734,   7062, 
/* msg =    342, deg = 10 */    397,    610,    825,   1366,   2390,   3414,   5462,   6412,   6735,   7063, 
/* msg =    343, deg = 10 */    398,    611,    826,   1367,   2391,   3415,   5463,   6413,   6736,   7064, 
/* msg =    344, deg = 10 */    399,    612,    827,   1368,   2392,   3416,   5464,   6414,   6737,   7065, 
/* msg =    345, deg = 10 */    400,    613,    828,   1369,   2393,   3417,   5465,   6415,   6738,   7066, 
/* msg =    346, deg = 10 */    401,    614,    829,   1370,   2394,   3418,   5466,   6416,   6739,   7067, 
/* msg =    347, deg = 10 */    402,    615,    830,   1371,   2395,   3419,   5467,   6417,   6740,   7068, 
/* msg =    348, deg = 10 */    403,    616,    831,   1372,   2396,   3420,   5468,   6418,   6741,   7069, 
/* msg =    349, deg = 10 */    404,    617,    832,   1373,   2397,   3421,   5469,   6419,   6742,   7070, 
/* msg =    350, deg = 10 */    405,    618,    833,   1374,   2398,   3422,   5470,   6420,   6743,   7071, 
/* msg =    351, deg = 10 */    406,    619,    834,   1375,   2399,   3423,   5471,   6421,   6744,   7072, 
/* msg =    352, deg = 10 */    407,    620,    835,   1376,   2400,   3424,   5472,   6422,   6745,   7073, 
/* msg =    353, deg = 10 */    408,    621,    836,   1377,   2401,   3425,   5473,   6423,   6746,   7074, 
/* msg =    354, deg = 10 */    409,    622,    837,   1378,   2402,   3426,   5474,   6424,   6747,   7075, 
/* msg =    355, deg = 10 */    410,    623,    838,   1379,   2403,   3427,   5475,   6425,   6748,   7076, 
/* msg =    356, deg = 10 */    411,    624,    839,   1380,   2404,   3428,   5476,   6426,   6749,   7077, 
/* msg =    357, deg = 10 */    412,    625,    840,   1381,   2405,   3429,   5477,   6427,   6750,   7078, 
/* msg =    358, deg = 10 */    413,    626,    841,   1382,   2406,   3430,   5478,   6428,   6751,   7079, 
/* msg =    359, deg = 10 */    414,    627,    842,   1383,   2407,   3431,   5479,   6429,   6752,   7080, 
/* msg =    360, deg = 10 */    415,    628,    843,   1384,   2408,   3432,   5480,   6430,   6753,   7081, 
/* msg =    361, deg = 10 */    416,    629,    844,   1385,   2409,   3433,   5481,   6431,   6754,   7082, 
/* msg =    362, deg = 10 */    417,    630,    845,   1386,   2410,   3434,   5482,   6432,   6755,   7083, 
/* msg =    363, deg = 10 */    418,    631,    846,   1387,   2411,   3435,   5483,   6433,   6756,   7084, 
/* msg =    364, deg = 10 */    419,    632,    847,   1388,   2412,   3436,   5484,   6434,   6757,   7085, 
/* msg =    365, deg = 10 */    420,    633,    848,   1389,   2413,   3437,   5485,   6435,   6758,   7086, 
/* msg =    366, deg = 10 */    421,    634,    849,   1390,   2414,   3438,   5486,   6436,   6759,   7087, 
/* msg =    367, deg = 10 */    422,    635,    850,   1391,   2415,   3439,   5487,   6437,   6760,   7088, 
/* msg =    368, deg = 10 */    423,    636,    851,   1392,   2416,   3440,   5488,   6438,   6761,   7089, 
/* msg =    369, deg = 10 */    424,    637,    852,   1393,   2417,   3441,   5489,   6439,   6762,   7090, 
/* msg =    370, deg = 10 */    425,    638,    853,   1394,   2418,   3442,   5490,   6440,   6763,   7091, 
/* msg =    371, deg = 10 */    426,    639,    854,   1395,   2419,   3443,   5491,   6441,   6764,   7092, 
/* msg =    372, deg = 10 */    427,    640,    855,   1396,   2420,   3444,   5492,   6442,   6765,   7093, 
/* msg =    373, deg = 10 */    428,    641,    856,   1397,   2421,   3445,   5493,   6443,   6766,   7094, 
/* msg =    374, deg = 10 */    429,    642,    857,   1398,   2422,   3446,   5494,   6444,   6767,   7095, 
/* msg =    375, deg = 10 */    430,    643,    858,   1399,   2423,   3447,   5495,   6445,   6768,   7096, 
/* msg =    376, deg = 10 */    431,    644,    859,   1400,   2424,   3448,   5496,   6446,   6769,   7097, 
/* msg =    377, deg = 10 */    432,    645,    860,   1401,   2425,   3449,   5497,   6447,   6770,   7098, 
/* msg =    378, deg = 10 */    433,    646,    861,   1402,   2426,   3450,   5498,   6448,   6771,   7099, 
/* msg =    379, deg = 10 */    434,    647,    862,   1403,   2427,   3451,   5499,   6449,   6772,   7100, 
/* msg =    380, deg = 10 */    435,    648,    863,   1404,   2428,   3452,   5500,   6450,   6773,   7101, 
/* msg =    381, deg = 10 */    436,    649,    864,   1405,   2429,   3453,   5501,   6451,   6774,   7102, 
/* msg =    382, deg = 10 */    437,    650,    865,   1406,   2430,   3454,   5502,   6452,   6775,   7103, 
/* msg =    383, deg = 10 */    438,    651,    866,   1407,   2431,   3455,   5503,   6453,   6776,   7104, 
/* msg =    384, deg = 10 */    439,    652,    867,   1408,   2432,   3456,   5504,   6454,   6777,   7105, 
/* msg =    385, deg = 10 */    440,    653,    868,   1409,   2433,   3457,   5505,   6455,   6778,   7106, 
/* msg =    386, deg = 10 */    441,    654,    869,   1410,   2434,   3458,   5506,   6456,   6779,   7107, 
/* msg =    387, deg = 10 */    442,    655,    870,   1411,   2435,   3459,   5507,   6457,   6780,   7108, 
/* msg =    388, deg = 10 */    443,    656,    871,   1412,   2436,   3460,   5508,   6458,   6781,   7109, 
/* msg =    389, deg = 10 */    444,    657,    872,   1413,   2437,   3461,   5509,   6459,   6782,   7110, 
/* msg =    390, deg = 10 */    445,    658,    873,   1414,   2438,   3462,   5510,   6460,   6783,   7111, 
/* msg =    391, deg = 10 */    446,    659,    874,   1415,   2439,   3463,   5511,   6461,   6784,   7112, 
/* msg =    392, deg = 10 */    447,    660,    875,   1416,   2440,   3464,   5512,   6462,   6785,   7113, 
/* msg =    393, deg = 10 */    448,    661,    876,   1417,   2441,   3465,   5513,   6463,   6786,   7114, 
/* msg =    394, deg = 10 */    449,    662,    877,   1418,   2442,   3466,   5514,   6464,   6787,   7115, 
/* msg =    395, deg = 10 */    450,    663,    878,   1419,   2443,   3467,   5515,   6465,   6788,   7116, 
/* msg =    396, deg = 10 */    451,    664,    879,   1420,   2444,   3468,   5516,   6466,   6789,   7117, 
/* msg =    397, deg = 10 */    452,    665,    880,   1421,   2445,   3469,   5517,   6467,   6790,   7118, 
/* msg =    398, deg = 10 */    453,    666,    881,   1422,   2446,   3470,   5518,   6468,   6791,   7119, 
/* msg =    399, deg = 10 */    454,    667,    882,   1423,   2447,   3471,   5519,   6469,   6792,   7120, 
/* msg =    400, deg = 10 */    455,    668,    883,   1424,   2448,   3472,   5520,   6470,   6793,   7121, 
/* msg =    401, deg = 10 */    456,    669,    884,   1425,   2449,   3473,   5521,   6471,   6794,   7122, 
/* msg =    402, deg = 10 */    457,    670,    885,   1426,   2450,   3474,   5522,   6472,   6795,   7123, 
/* msg =    403, deg = 10 */    458,    671,    886,   1427,   2451,   3475,   5523,   6473,   6796,   7124, 
/* msg =    404, deg = 10 */    459,    672,    887,   1428,   2452,   3476,   5524,   6474,   6797,   7125, 
/* msg =    405, deg = 10 */    460,    673,    888,   1429,   2453,   3477,   5525,   6475,   6798,   7126, 
/* msg =    406, deg = 10 */    461,    674,    889,   1430,   2454,   3478,   5526,   6476,   6799,   7127, 
/* msg =    407, deg = 10 */    462,    675,    890,   1431,   2455,   3479,   5527,   6477,   6800,   7128, 
/* msg =    408, deg = 10 */    463,    676,    891,   1432,   2456,   3480,   5528,   6478,   6801,   7129, 
/* msg =    409, deg = 10 */    464,    677,    892,   1433,   2457,   3481,   5529,   6479,   6802,   7130, 
/* msg =    410, deg = 10 */    465,    678,    893,   1434,   2458,   3482,   5530,   6480,   6803,   7131, 
/* msg =    411, deg = 10 */    466,    679,    894,   1435,   2459,   3483,   5531,   6481,   6804,   7132, 
/* msg =    412, deg = 10 */    467,    680,    895,   1436,   2460,   3484,   5532,   6482,   6805,   7133, 
/* msg =    413, deg = 10 */    468,    681,    896,   1437,   2461,   3485,   5533,   6483,   6806,   7134, 
/* msg =    414, deg = 10 */    469,    682,    897,   1438,   2462,   3486,   5534,   6484,   6807,   7135, 
/* msg =    415, deg = 10 */    470,    683,    898,   1439,   2463,   3487,   5535,   6485,   6808,   7136, 
/* msg =    416, deg = 10 */    471,    684,    899,   1440,   2464,   3488,   5536,   6486,   6809,   7137, 
/* msg =    417, deg = 10 */    472,    685,    900,   1441,   2465,   3489,   5537,   6487,   6810,   7138, 
/* msg =    418, deg = 10 */    473,    686,    901,   1442,   2466,   3490,   5538,   6488,   6811,   7139, 
/* msg =    419, deg = 10 */    474,    687,    902,   1443,   2467,   3491,   5539,   6489,   6812,   7140, 
/* msg =    420, deg = 10 */    475,    688,    903,   1444,   2468,   3492,   5540,   6490,   6813,   7141, 
/* msg =    421, deg = 10 */    476,    689,    904,   1445,   2469,   3493,   5541,   6491,   6814,   7142, 
/* msg =    422, deg = 10 */    477,    690,    905,   1446,   2470,   3494,   5542,   6492,   6815,   7143, 
/* msg =    423, deg = 10 */    478,    691,    906,   1447,   2471,   3495,   5543,   6493,   6816,   7144, 
/* msg =    424, deg = 10 */    479,    692,    907,   1448,   2472,   3496,   5544,   6494,   6817,   7145, 
/* msg =    425, deg = 10 */    480,    693,    908,   1449,   2473,   3497,   5545,   6495,   6818,   7146, 
/* msg =    426, deg = 10 */    481,    694,    909,   1450,   2474,   3498,   5546,   6496,   6819,   7147, 
/* msg =    427, deg = 10 */    482,    695,    910,   1451,   2475,   3499,   5547,   6497,   6820,   7148, 
/* msg =    428, deg = 10 */    483,    696,    911,   1452,   2476,   3500,   5548,   6498,   6821,   7149, 
/* msg =    429, deg = 10 */    484,    697,    912,   1453,   2477,   3501,   5549,   6499,   6822,   7150, 
/* msg =    430, deg = 10 */    485,    698,    913,   1454,   2478,   3502,   5550,   6500,   6823,   7151, 
/* msg =    431, deg = 10 */    486,    699,    914,   1455,   2479,   3503,   5551,   6501,   6824,   7152, 
/* msg =    432, deg = 10 */    487,    700,    915,   1456,   2480,   3504,   5552,   6502,   6825,   7153, 
/* msg =    433, deg = 10 */    488,    701,    916,   1457,   2481,   3505,   5553,   6503,   6826,   7154, 
/* msg =    434, deg = 10 */    489,    702,    917,   1458,   2482,   3506,   5554,   6504,   6827,   7155, 
/* msg =    435, deg = 10 */    490,    703,    918,   1459,   2483,   3507,   5555,   6505,   6828,   7156, 
/* msg =    436, deg = 10 */    491,    704,    919,   1460,   2484,   3508,   5556,   6506,   6829,   7157, 
/* msg =    437, deg = 10 */    492,    705,    920,   1461,   2485,   3509,   5557,   6507,   6830,   7158, 
/* msg =    438, deg = 10 */    493,    706,    921,   1462,   2486,   3510,   5558,   6508,   6831,   7159, 
/* msg =    439, deg = 10 */    494,    707,    922,   1463,   2487,   3511,   5559,   6509,   6832,   7160, 
/* msg =    440, deg = 10 */    495,    708,    923,   1464,   2488,   3512,   5560,   6510,   6833,   7161, 
/* msg =    441, deg = 10 */    496,    709,    924,   1465,   2489,   3513,   5561,   6511,   6834,   7162, 
/* msg =    442, deg = 10 */    497,    710,    925,   1466,   2490,   3514,   5562,   6512,   6835,   7163, 
/* msg =    443, deg = 10 */    498,    711,    926,   1467,   2491,   3515,   5563,   6513,   6836,   7164, 
/* msg =    444, deg = 10 */    499,    712,    927,   1468,   2492,   3516,   5564,   6514,   6837,   7165, 
/* msg =    445, deg = 10 */    500,    713,    928,   1469,   2493,   3517,   5565,   6515,   6838,   7166, 
/* msg =    446, deg = 10 */    501,    714,    929,   1470,   2494,   3518,   5566,   6516,   6839,   7167, 
/* msg =    447, deg = 10 */    502,    715,    930,   1471,   2495,   3519,   5567,   6517,   6840,   6912, 
/* msg =    448, deg = 10 */    503,    716,    931,   1472,   2496,   3520,   5568,   6518,   6841,   6913, 
/* msg =    449, deg = 10 */    504,    717,    932,   1473,   2497,   3521,   5569,   6519,   6842,   6914, 
/* msg =    450, deg = 10 */    505,    718,    933,   1474,   2498,   3522,   5570,   6520,   6843,   6915, 
/* msg =    451, deg = 10 */    506,    719,    934,   1475,   2499,   3523,   5571,   6521,   6844,   6916, 
/* msg =    452, deg = 10 */    507,    720,    935,   1476,   2500,   3524,   5572,   6522,   6845,   6917, 
/* msg =    453, deg = 10 */    508,    721,    936,   1477,   2501,   3525,   5573,   6523,   6846,   6918, 
/* msg =    454, deg = 10 */    509,    722,    937,   1478,   2502,   3526,   5574,   6524,   6847,   6919, 
/* msg =    455, deg = 10 */    510,    723,    938,   1479,   2503,   3527,   5575,   6525,   6848,   6920, 
/* msg =    456, deg = 10 */    511,    724,    939,   1480,   2504,   3528,   5576,   6526,   6849,   6921, 
/* msg =    457, deg = 10 */    256,    725,    940,   1481,   2505,   3529,   5577,   6527,   6850,   6922, 
/* msg =    458, deg = 10 */    257,    726,    941,   1482,   2506,   3530,   5578,   6528,   6851,   6923, 
/* msg =    459, deg = 10 */    258,    727,    942,   1483,   2507,   3531,   5579,   6529,   6852,   6924, 
/* msg =    460, deg = 10 */    259,    728,    943,   1484,   2508,   3532,   5580,   6530,   6853,   6925, 
/* msg =    461, deg = 10 */    260,    729,    944,   1485,   2509,   3533,   5581,   6531,   6854,   6926, 
/* msg =    462, deg = 10 */    261,    730,    945,   1486,   2510,   3534,   5582,   6532,   6855,   6927, 
/* msg =    463, deg = 10 */    262,    731,    946,   1487,   2511,   3535,   5583,   6533,   6856,   6928, 
/* msg =    464, deg = 10 */    263,    732,    947,   1488,   2512,   3536,   5584,   6534,   6857,   6929, 
/* msg =    465, deg = 10 */    264,    733,    948,   1489,   2513,   3537,   5585,   6535,   6858,   6930, 
/* msg =    466, deg = 10 */    265,    734,    949,   1490,   2514,   3538,   5586,   6536,   6859,   6931, 
/* msg =    467, deg = 10 */    266,    735,    950,   1491,   2515,   3539,   5587,   6537,   6860,   6932, 
/* msg =    468, deg = 10 */    267,    736,    951,   1492,   2516,   3540,   5588,   6538,   6861,   6933, 
/* msg =    469, deg = 10 */    268,    737,    952,   1493,   2517,   3541,   5589,   6539,   6862,   6934, 
/* msg =    470, deg = 10 */    269,    738,    953,   1494,   2518,   3542,   5590,   6540,   6863,   6935, 
/* msg =    471, deg = 10 */    270,    739,    954,   1495,   2519,   3543,   5591,   6541,   6864,   6936, 
/* msg =    472, deg = 10 */    271,    740,    955,   1496,   2520,   3544,   5592,   6542,   6865,   6937, 
/* msg =    473, deg = 10 */    272,    741,    956,   1497,   2521,   3545,   5593,   6543,   6866,   6938, 
/* msg =    474, deg = 10 */    273,    742,    957,   1498,   2522,   3546,   5594,   6544,   6867,   6939, 
/* msg =    475, deg = 10 */    274,    743,    958,   1499,   2523,   3547,   5595,   6545,   6868,   6940, 
/* msg =    476, deg = 10 */    275,    744,    959,   1500,   2524,   3548,   5596,   6546,   6869,   6941, 
/* msg =    477, deg = 10 */    276,    745,    960,   1501,   2525,   3549,   5597,   6547,   6870,   6942, 
/* msg =    478, deg = 10 */    277,    746,    961,   1502,   2526,   3550,   5598,   6548,   6871,   6943, 
/* msg =    479, deg = 10 */    278,    747,    962,   1503,   2527,   3551,   5599,   6549,   6872,   6944, 
/* msg =    480, deg = 10 */    279,    748,    963,   1504,   2528,   3552,   5600,   6550,   6873,   6945, 
/* msg =    481, deg = 10 */    280,    749,    964,   1505,   2529,   3553,   5601,   6551,   6874,   6946, 
/* msg =    482, deg = 10 */    281,    750,    965,   1506,   2530,   3554,   5602,   6552,   6875,   6947, 
/* msg =    483, deg = 10 */    282,    751,    966,   1507,   2531,   3555,   5603,   6553,   6876,   6948, 
/* msg =    484, deg = 10 */    283,    752,    967,   1508,   2532,   3556,   5604,   6554,   6877,   6949, 
/* msg =    485, deg = 10 */    284,    753,    968,   1509,   2533,   3557,   5605,   6555,   6878,   6950, 
/* msg =    486, deg = 10 */    285,    754,    969,   1510,   2534,   3558,   5606,   6556,   6879,   6951, 
/* msg =    487, deg = 10 */    286,    755,    970,   1511,   2535,   3559,   5607,   6557,   6880,   6952, 
/* msg =    488, deg = 10 */    287,    756,    971,   1512,   2536,   3560,   5608,   6558,   6881,   6953, 
/* msg =    489, deg = 10 */    288,    757,    972,   1513,   2537,   3561,   5609,   6559,   6882,   6954, 
/* msg =    490, deg = 10 */    289,    758,    973,   1514,   2538,   3562,   5610,   6560,   6883,   6955, 
/* msg =    491, deg = 10 */    290,    759,    974,   1515,   2539,   3563,   5611,   6561,   6884,   6956, 
/* msg =    492, deg = 10 */    291,    760,    975,   1516,   2540,   3564,   5612,   6562,   6885,   6957, 
/* msg =    493, deg = 10 */    292,    761,    976,   1517,   2541,   3565,   5613,   6563,   6886,   6958, 
/* msg =    494, deg = 10 */    293,    762,    977,   1518,   2542,   3566,   5614,   6564,   6887,   6959, 
/* msg =    495, deg = 10 */    294,    763,    978,   1519,   2543,   3567,   5615,   6565,   6888,   6960, 
/* msg =    496, deg = 10 */    295,    764,    979,   1520,   2544,   3568,   5616,   6566,   6889,   6961, 
/* msg =    497, deg = 10 */    296,    765,    980,   1521,   2545,   3569,   5617,   6567,   6890,   6962, 
/* msg =    498, deg = 10 */    297,    766,    981,   1522,   2546,   3570,   5618,   6568,   6891,   6963, 
/* msg =    499, deg = 10 */    298,    767,    982,   1523,   2547,   3571,   5619,   6569,   6892,   6964, 
/* msg =    500, deg = 10 */    299,    512,    983,   1524,   2548,   3572,   5620,   6570,   6893,   6965, 
/* msg =    501, deg = 10 */    300,    513,    984,   1525,   2549,   3573,   5621,   6571,   6894,   6966, 
/* msg =    502, deg = 10 */    301,    514,    985,   1526,   2550,   3574,   5622,   6572,   6895,   6967, 
/* msg =    503, deg = 10 */    302,    515,    986,   1527,   2551,   3575,   5623,   6573,   6896,   6968, 
/* msg =    504, deg = 10 */    303,    516,    987,   1528,   2552,   3576,   5624,   6574,   6897,   6969, 
/* msg =    505, deg = 10 */    304,    517,    988,   1529,   2553,   3577,   5625,   6575,   6898,   6970, 
/* msg =    506, deg = 10 */    305,    518,    989,   1530,   2554,   3578,   5626,   6576,   6899,   6971, 
/* msg =    507, deg = 10 */    306,    519,    990,   1531,   2555,   3579,   5627,   6577,   6900,   6972, 
/* msg =    508, deg = 10 */    307,    520,    991,   1532,   2556,   3580,   5628,   6578,   6901,   6973, 
/* msg =    509, deg = 10 */    308,    521,    992,   1533,   2557,   3581,   5629,   6579,   6902,   6974, 
/* msg =    510, deg = 10 */    309,    522,    993,   1534,   2558,   3582,   5630,   6580,   6903,   6975, 
/* msg =    511, deg = 10 */    310,    523,    994,   1535,   2559,   3583,   5631,   6581,   6904,   6976, 
/* msg =    512, deg = 10 */     23,    659,    822,   1536,   2560,   3584,   5632,   6358,   6691,   7079, 
/* msg =    513, deg = 10 */     24,    660,    823,   1537,   2561,   3585,   5633,   6359,   6692,   7080, 
/* msg =    514, deg = 10 */     25,    661,    824,   1538,   2562,   3586,   5634,   6360,   6693,   7081, 
/* msg =    515, deg = 10 */     26,    662,    825,   1539,   2563,   3587,   5635,   6361,   6694,   7082, 
/* msg =    516, deg = 10 */     27,    663,    826,   1540,   2564,   3588,   5636,   6362,   6695,   7083, 
/* msg =    517, deg = 10 */     28,    664,    827,   1541,   2565,   3589,   5637,   6363,   6696,   7084, 
/* msg =    518, deg = 10 */     29,    665,    828,   1542,   2566,   3590,   5638,   6364,   6697,   7085, 
/* msg =    519, deg = 10 */     30,    666,    829,   1543,   2567,   3591,   5639,   6365,   6698,   7086, 
/* msg =    520, deg = 10 */     31,    667,    830,   1544,   2568,   3592,   5640,   6366,   6699,   7087, 
/* msg =    521, deg = 10 */     32,    668,    831,   1545,   2569,   3593,   5641,   6367,   6700,   7088, 
/* msg =    522, deg = 10 */     33,    669,    832,   1546,   2570,   3594,   5642,   6368,   6701,   7089, 
/* msg =    523, deg = 10 */     34,    670,    833,   1547,   2571,   3595,   5643,   6369,   6702,   7090, 
/* msg =    524, deg = 10 */     35,    671,    834,   1548,   2572,   3596,   5644,   6370,   6703,   7091, 
/* msg =    525, deg = 10 */     36,    672,    835,   1549,   2573,   3597,   5645,   6371,   6704,   7092, 
/* msg =    526, deg = 10 */     37,    673,    836,   1550,   2574,   3598,   5646,   6372,   6705,   7093, 
/* msg =    527, deg = 10 */     38,    674,    837,   1551,   2575,   3599,   5647,   6373,   6706,   7094, 
/* msg =    528, deg = 10 */     39,    675,    838,   1552,   2576,   3600,   5648,   6374,   6707,   7095, 
/* msg =    529, deg = 10 */     40,    676,    839,   1553,   2577,   3601,   5649,   6375,   6708,   7096, 
/* msg =    530, deg = 10 */     41,    677,    840,   1554,   2578,   3602,   5650,   6376,   6709,   7097, 
/* msg =    531, deg = 10 */     42,    678,    841,   1555,   2579,   3603,   5651,   6377,   6710,   7098, 
/* msg =    532, deg = 10 */     43,    679,    842,   1556,   2580,   3604,   5652,   6378,   6711,   7099, 
/* msg =    533, deg = 10 */     44,    680,    843,   1557,   2581,   3605,   5653,   6379,   6712,   7100, 
/* msg =    534, deg = 10 */     45,    681,    844,   1558,   2582,   3606,   5654,   6380,   6713,   7101, 
/* msg =    535, deg = 10 */     46,    682,    845,   1559,   2583,   3607,   5655,   6381,   6714,   7102, 
/* msg =    536, deg = 10 */     47,    683,    846,   1560,   2584,   3608,   5656,   6382,   6715,   7103, 
/* msg =    537, deg = 10 */     48,    684,    847,   1561,   2585,   3609,   5657,   6383,   6716,   7104, 
/* msg =    538, deg = 10 */     49,    685,    848,   1562,   2586,   3610,   5658,   6384,   6717,   7105, 
/* msg =    539, deg = 10 */     50,    686,    849,   1563,   2587,   3611,   5659,   6385,   6718,   7106, 
/* msg =    540, deg = 10 */     51,    687,    850,   1564,   2588,   3612,   5660,   6386,   6719,   7107, 
/* msg =    541, deg = 10 */     52,    688,    851,   1565,   2589,   3613,   5661,   6387,   6720,   7108, 
/* msg =    542, deg = 10 */     53,    689,    852,   1566,   2590,   3614,   5662,   6388,   6721,   7109, 
/* msg =    543, deg = 10 */     54,    690,    853,   1567,   2591,   3615,   5663,   6389,   6722,   7110, 
/* msg =    544, deg = 10 */     55,    691,    854,   1568,   2592,   3616,   5664,   6390,   6723,   7111, 
/* msg =    545, deg = 10 */     56,    692,    855,   1569,   2593,   3617,   5665,   6391,   6724,   7112, 
/* msg =    546, deg = 10 */     57,    693,    856,   1570,   2594,   3618,   5666,   6392,   6725,   7113, 
/* msg =    547, deg = 10 */     58,    694,    857,   1571,   2595,   3619,   5667,   6393,   6726,   7114, 
/* msg =    548, deg = 10 */     59,    695,    858,   1572,   2596,   3620,   5668,   6394,   6727,   7115, 
/* msg =    549, deg = 10 */     60,    696,    859,   1573,   2597,   3621,   5669,   6395,   6728,   7116, 
/* msg =    550, deg = 10 */     61,    697,    860,   1574,   2598,   3622,   5670,   6396,   6729,   7117, 
/* msg =    551, deg = 10 */     62,    698,    861,   1575,   2599,   3623,   5671,   6397,   6730,   7118, 
/* msg =    552, deg = 10 */     63,    699,    862,   1576,   2600,   3624,   5672,   6398,   6731,   7119, 
/* msg =    553, deg = 10 */     64,    700,    863,   1577,   2601,   3625,   5673,   6399,   6732,   7120, 
/* msg =    554, deg = 10 */     65,    701,    864,   1578,   2602,   3626,   5674,   6144,   6733,   7121, 
/* msg =    555, deg = 10 */     66,    702,    865,   1579,   2603,   3627,   5675,   6145,   6734,   7122, 
/* msg =    556, deg = 10 */     67,    703,    866,   1580,   2604,   3628,   5676,   6146,   6735,   7123, 
/* msg =    557, deg = 10 */     68,    704,    867,   1581,   2605,   3629,   5677,   6147,   6736,   7124, 
/* msg =    558, deg = 10 */     69,    705,    868,   1582,   2606,   3630,   5678,   6148,   6737,   7125, 
/* msg =    559, deg = 10 */     70,    706,    869,   1583,   2607,   3631,   5679,   6149,   6738,   7126, 
/* msg =    560, deg = 10 */     71,    707,    870,   1584,   2608,   3632,   5680,   6150,   6739,   7127, 
/* msg =    561, deg = 10 */     72,    708,    871,   1585,   2609,   3633,   5681,   6151,   6740,   7128, 
/* msg =    562, deg = 10 */     73,    709,    872,   1586,   2610,   3634,   5682,   6152,   6741,   7129, 
/* msg =    563, deg = 10 */     74,    710,    873,   1587,   2611,   3635,   5683,   6153,   6742,   7130, 
/* msg =    564, deg = 10 */     75,    711,    874,   1588,   2612,   3636,   5684,   6154,   6743,   7131, 
/* msg =    565, deg = 10 */     76,    712,    875,   1589,   2613,   3637,   5685,   6155,   6744,   7132, 
/* msg =    566, deg = 10 */     77,    713,    876,   1590,   2614,   3638,   5686,   6156,   6745,   7133, 
/* msg =    567, deg = 10 */     78,    714,    877,   1591,   2615,   3639,   5687,   6157,   6746,   7134, 
/* msg =    568, deg = 10 */     79,    715,    878,   1592,   2616,   3640,   5688,   6158,   6747,   7135, 
/* msg =    569, deg = 10 */     80,    716,    879,   1593,   2617,   3641,   5689,   6159,   6748,   7136, 
/* msg =    570, deg = 10 */     81,    717,    880,   1594,   2618,   3642,   5690,   6160,   6749,   7137, 
/* msg =    571, deg = 10 */     82,    718,    881,   1595,   2619,   3643,   5691,   6161,   6750,   7138, 
/* msg =    572, deg = 10 */     83,    719,    882,   1596,   2620,   3644,   5692,   6162,   6751,   7139, 
/* msg =    573, deg = 10 */     84,    720,    883,   1597,   2621,   3645,   5693,   6163,   6752,   7140, 
/* msg =    574, deg = 10 */     85,    721,    884,   1598,   2622,   3646,   5694,   6164,   6753,   7141, 
/* msg =    575, deg = 10 */     86,    722,    885,   1599,   2623,   3647,   5695,   6165,   6754,   7142, 
/* msg =    576, deg = 10 */     87,    723,    886,   1600,   2624,   3648,   5696,   6166,   6755,   7143, 
/* msg =    577, deg = 10 */     88,    724,    887,   1601,   2625,   3649,   5697,   6167,   6756,   7144, 
/* msg =    578, deg = 10 */     89,    725,    888,   1602,   2626,   3650,   5698,   6168,   6757,   7145, 
/* msg =    579, deg = 10 */     90,    726,    889,   1603,   2627,   3651,   5699,   6169,   6758,   7146, 
/* msg =    580, deg = 10 */     91,    727,    890,   1604,   2628,   3652,   5700,   6170,   6759,   7147, 
/* msg =    581, deg = 10 */     92,    728,    891,   1605,   2629,   3653,   5701,   6171,   6760,   7148, 
/* msg =    582, deg = 10 */     93,    729,    892,   1606,   2630,   3654,   5702,   6172,   6761,   7149, 
/* msg =    583, deg = 10 */     94,    730,    893,   1607,   2631,   3655,   5703,   6173,   6762,   7150, 
/* msg =    584, deg = 10 */     95,    731,    894,   1608,   2632,   3656,   5704,   6174,   6763,   7151, 
/* msg =    585, deg = 10 */     96,    732,    895,   1609,   2633,   3657,   5705,   6175,   6764,   7152, 
/* msg =    586, deg = 10 */     97,    733,    896,   1610,   2634,   3658,   5706,   6176,   6765,   7153, 
/* msg =    587, deg = 10 */     98,    734,    897,   1611,   2635,   3659,   5707,   6177,   6766,   7154, 
/* msg =    588, deg = 10 */     99,    735,    898,   1612,   2636,   3660,   5708,   6178,   6767,   7155, 
/* msg =    589, deg = 10 */    100,    736,    899,   1613,   2637,   3661,   5709,   6179,   6768,   7156, 
/* msg =    590, deg = 10 */    101,    737,    900,   1614,   2638,   3662,   5710,   6180,   6769,   7157, 
/* msg =    591, deg = 10 */    102,    738,    901,   1615,   2639,   3663,   5711,   6181,   6770,   7158, 
/* msg =    592, deg = 10 */    103,    739,    902,   1616,   2640,   3664,   5712,   6182,   6771,   7159, 
/* msg =    593, deg = 10 */    104,    740,    903,   1617,   2641,   3665,   5713,   6183,   6772,   7160, 
/* msg =    594, deg = 10 */    105,    741,    904,   1618,   2642,   3666,   5714,   6184,   6773,   7161, 
/* msg =    595, deg = 10 */    106,    742,    905,   1619,   2643,   3667,   5715,   6185,   6774,   7162, 
/* msg =    596, deg = 10 */    107,    743,    906,   1620,   2644,   3668,   5716,   6186,   6775,   7163, 
/* msg =    597, deg = 10 */    108,    744,    907,   1621,   2645,   3669,   5717,   6187,   6776,   7164, 
/* msg =    598, deg = 10 */    109,    745,    908,   1622,   2646,   3670,   5718,   6188,   6777,   7165, 
/* msg =    599, deg = 10 */    110,    746,    909,   1623,   2647,   3671,   5719,   6189,   6778,   7166, 
/* msg =    600, deg = 10 */    111,    747,    910,   1624,   2648,   3672,   5720,   6190,   6779,   7167, 
/* msg =    601, deg = 10 */    112,    748,    911,   1625,   2649,   3673,   5721,   6191,   6780,   6912, 
/* msg =    602, deg = 10 */    113,    749,    912,   1626,   2650,   3674,   5722,   6192,   6781,   6913, 
/* msg =    603, deg = 10 */    114,    750,    913,   1627,   2651,   3675,   5723,   6193,   6782,   6914, 
/* msg =    604, deg = 10 */    115,    751,    914,   1628,   2652,   3676,   5724,   6194,   6783,   6915, 
/* msg =    605, deg = 10 */    116,    752,    915,   1629,   2653,   3677,   5725,   6195,   6784,   6916, 
/* msg =    606, deg = 10 */    117,    753,    916,   1630,   2654,   3678,   5726,   6196,   6785,   6917, 
/* msg =    607, deg = 10 */    118,    754,    917,   1631,   2655,   3679,   5727,   6197,   6786,   6918, 
/* msg =    608, deg = 10 */    119,    755,    918,   1632,   2656,   3680,   5728,   6198,   6787,   6919, 
/* msg =    609, deg = 10 */    120,    756,    919,   1633,   2657,   3681,   5729,   6199,   6788,   6920, 
/* msg =    610, deg = 10 */    121,    757,    920,   1634,   2658,   3682,   5730,   6200,   6789,   6921, 
/* msg =    611, deg = 10 */    122,    758,    921,   1635,   2659,   3683,   5731,   6201,   6790,   6922, 
/* msg =    612, deg = 10 */    123,    759,    922,   1636,   2660,   3684,   5732,   6202,   6791,   6923, 
/* msg =    613, deg = 10 */    124,    760,    923,   1637,   2661,   3685,   5733,   6203,   6792,   6924, 
/* msg =    614, deg = 10 */    125,    761,    924,   1638,   2662,   3686,   5734,   6204,   6793,   6925, 
/* msg =    615, deg = 10 */    126,    762,    925,   1639,   2663,   3687,   5735,   6205,   6794,   6926, 
/* msg =    616, deg = 10 */    127,    763,    926,   1640,   2664,   3688,   5736,   6206,   6795,   6927, 
/* msg =    617, deg = 10 */    128,    764,    927,   1641,   2665,   3689,   5737,   6207,   6796,   6928, 
/* msg =    618, deg = 10 */    129,    765,    928,   1642,   2666,   3690,   5738,   6208,   6797,   6929, 
/* msg =    619, deg = 10 */    130,    766,    929,   1643,   2667,   3691,   5739,   6209,   6798,   6930, 
/* msg =    620, deg = 10 */    131,    767,    930,   1644,   2668,   3692,   5740,   6210,   6799,   6931, 
/* msg =    621, deg = 10 */    132,    512,    931,   1645,   2669,   3693,   5741,   6211,   6800,   6932, 
/* msg =    622, deg = 10 */    133,    513,    932,   1646,   2670,   3694,   5742,   6212,   6801,   6933, 
/* msg =    623, deg = 10 */    134,    514,    933,   1647,   2671,   3695,   5743,   6213,   6802,   6934, 
/* msg =    624, deg = 10 */    135,    515,    934,   1648,   2672,   3696,   5744,   6214,   6803,   6935, 
/* msg =    625, deg = 10 */    136,    516,    935,   1649,   2673,   3697,   5745,   6215,   6804,   6936, 
/* msg =    626, deg = 10 */    137,    517,    936,   1650,   2674,   3698,   5746,   6216,   6805,   6937, 
/* msg =    627, deg = 10 */    138,    518,    937,   1651,   2675,   3699,   5747,   6217,   6806,   6938, 
/* msg =    628, deg = 10 */    139,    519,    938,   1652,   2676,   3700,   5748,   6218,   6807,   6939, 
/* msg =    629, deg = 10 */    140,    520,    939,   1653,   2677,   3701,   5749,   6219,   6808,   6940, 
/* msg =    630, deg = 10 */    141,    521,    940,   1654,   2678,   3702,   5750,   6220,   6809,   6941, 
/* msg =    631, deg = 10 */    142,    522,    941,   1655,   2679,   3703,   5751,   6221,   6810,   6942, 
/* msg =    632, deg = 10 */    143,    523,    942,   1656,   2680,   3704,   5752,   6222,   6811,   6943, 
/* msg =    633, deg = 10 */    144,    524,    943,   1657,   2681,   3705,   5753,   6223,   6812,   6944, 
/* msg =    634, deg = 10 */    145,    525,    944,   1658,   2682,   3706,   5754,   6224,   6813,   6945, 
/* msg =    635, deg = 10 */    146,    526,    945,   1659,   2683,   3707,   5755,   6225,   6814,   6946, 
/* msg =    636, deg = 10 */    147,    527,    946,   1660,   2684,   3708,   5756,   6226,   6815,   6947, 
/* msg =    637, deg = 10 */    148,    528,    947,   1661,   2685,   3709,   5757,   6227,   6816,   6948, 
/* msg =    638, deg = 10 */    149,    529,    948,   1662,   2686,   3710,   5758,   6228,   6817,   6949, 
/* msg =    639, deg = 10 */    150,    530,    949,   1663,   2687,   3711,   5759,   6229,   6818,   6950, 
/* msg =    640, deg = 10 */    151,    531,    950,   1664,   2688,   3712,   5760,   6230,   6819,   6951, 
/* msg =    641, deg = 10 */    152,    532,    951,   1665,   2689,   3713,   5761,   6231,   6820,   6952, 
/* msg =    642, deg = 10 */    153,    533,    952,   1666,   2690,   3714,   5762,   6232,   6821,   6953, 
/* msg =    643, deg = 10 */    154,    534,    953,   1667,   2691,   3715,   5763,   6233,   6822,   6954, 
/* msg =    644, deg = 10 */    155,    535,    954,   1668,   2692,   3716,   5764,   6234,   6823,   6955, 
/* msg =    645, deg = 10 */    156,    536,    955,   1669,   2693,   3717,   5765,   6235,   6824,   6956, 
/* msg =    646, deg = 10 */    157,    537,    956,   1670,   2694,   3718,   5766,   6236,   6825,   6957, 
/* msg =    647, deg = 10 */    158,    538,    957,   1671,   2695,   3719,   5767,   6237,   6826,   6958, 
/* msg =    648, deg = 10 */    159,    539,    958,   1672,   2696,   3720,   5768,   6238,   6827,   6959, 
/* msg =    649, deg = 10 */    160,    540,    959,   1673,   2697,   3721,   5769,   6239,   6828,   6960, 
/* msg =    650, deg = 10 */    161,    541,    960,   1674,   2698,   3722,   5770,   6240,   6829,   6961, 
/* msg =    651, deg = 10 */    162,    542,    961,   1675,   2699,   3723,   5771,   6241,   6830,   6962, 
/* msg =    652, deg = 10 */    163,    543,    962,   1676,   2700,   3724,   5772,   6242,   6831,   6963, 
/* msg =    653, deg = 10 */    164,    544,    963,   1677,   2701,   3725,   5773,   6243,   6832,   6964, 
/* msg =    654, deg = 10 */    165,    545,    964,   1678,   2702,   3726,   5774,   6244,   6833,   6965, 
/* msg =    655, deg = 10 */    166,    546,    965,   1679,   2703,   3727,   5775,   6245,   6834,   6966, 
/* msg =    656, deg = 10 */    167,    547,    966,   1680,   2704,   3728,   5776,   6246,   6835,   6967, 
/* msg =    657, deg = 10 */    168,    548,    967,   1681,   2705,   3729,   5777,   6247,   6836,   6968, 
/* msg =    658, deg = 10 */    169,    549,    968,   1682,   2706,   3730,   5778,   6248,   6837,   6969, 
/* msg =    659, deg = 10 */    170,    550,    969,   1683,   2707,   3731,   5779,   6249,   6838,   6970, 
/* msg =    660, deg = 10 */    171,    551,    970,   1684,   2708,   3732,   5780,   6250,   6839,   6971, 
/* msg =    661, deg = 10 */    172,    552,    971,   1685,   2709,   3733,   5781,   6251,   6840,   6972, 
/* msg =    662, deg = 10 */    173,    553,    972,   1686,   2710,   3734,   5782,   6252,   6841,   6973, 
/* msg =    663, deg = 10 */    174,    554,    973,   1687,   2711,   3735,   5783,   6253,   6842,   6974, 
/* msg =    664, deg = 10 */    175,    555,    974,   1688,   2712,   3736,   5784,   6254,   6843,   6975, 
/* msg =    665, deg = 10 */    176,    556,    975,   1689,   2713,   3737,   5785,   6255,   6844,   6976, 
/* msg =    666, deg = 10 */    177,    557,    976,   1690,   2714,   3738,   5786,   6256,   6845,   6977, 
/* msg =    667, deg = 10 */    178,    558,    977,   1691,   2715,   3739,   5787,   6257,   6846,   6978, 
/* msg =    668, deg = 10 */    179,    559,    978,   1692,   2716,   3740,   5788,   6258,   6847,   6979, 
/* msg =    669, deg = 10 */    180,    560,    979,   1693,   2717,   3741,   5789,   6259,   6848,   6980, 
/* msg =    670, deg = 10 */    181,    561,    980,   1694,   2718,   3742,   5790,   6260,   6849,   6981, 
/* msg =    671, deg = 10 */    182,    562,    981,   1695,   2719,   3743,   5791,   6261,   6850,   6982, 
/* msg =    672, deg = 10 */    183,    563,    982,   1696,   2720,   3744,   5792,   6262,   6851,   6983, 
/* msg =    673, deg = 10 */    184,    564,    983,   1697,   2721,   3745,   5793,   6263,   6852,   6984, 
/* msg =    674, deg = 10 */    185,    565,    984,   1698,   2722,   3746,   5794,   6264,   6853,   6985, 
/* msg =    675, deg = 10 */    186,    566,    985,   1699,   2723,   3747,   5795,   6265,   6854,   6986, 
/* msg =    676, deg = 10 */    187,    567,    986,   1700,   2724,   3748,   5796,   6266,   6855,   6987, 
/* msg =    677, deg = 10 */    188,    568,    987,   1701,   2725,   3749,   5797,   6267,   6856,   6988, 
/* msg =    678, deg = 10 */    189,    569,    988,   1702,   2726,   3750,   5798,   6268,   6857,   6989, 
/* msg =    679, deg = 10 */    190,    570,    989,   1703,   2727,   3751,   5799,   6269,   6858,   6990, 
/* msg =    680, deg = 10 */    191,    571,    990,   1704,   2728,   3752,   5800,   6270,   6859,   6991, 
/* msg =    681, deg = 10 */    192,    572,    991,   1705,   2729,   3753,   5801,   6271,   6860,   6992, 
/* msg =    682, deg = 10 */    193,    573,    992,   1706,   2730,   3754,   5802,   6272,   6861,   6993, 
/* msg =    683, deg = 10 */    194,    574,    993,   1707,   2731,   3755,   5803,   6273,   6862,   6994, 
/* msg =    684, deg = 10 */    195,    575,    994,   1708,   2732,   3756,   5804,   6274,   6863,   6995, 
/* msg =    685, deg = 10 */    196,    576,    995,   1709,   2733,   3757,   5805,   6275,   6864,   6996, 
/* msg =    686, deg = 10 */    197,    577,    996,   1710,   2734,   3758,   5806,   6276,   6865,   6997, 
/* msg =    687, deg = 10 */    198,    578,    997,   1711,   2735,   3759,   5807,   6277,   6866,   6998, 
/* msg =    688, deg = 10 */    199,    579,    998,   1712,   2736,   3760,   5808,   6278,   6867,   6999, 
/* msg =    689, deg = 10 */    200,    580,    999,   1713,   2737,   3761,   5809,   6279,   6868,   7000, 
/* msg =    690, deg = 10 */    201,    581,   1000,   1714,   2738,   3762,   5810,   6280,   6869,   7001, 
/* msg =    691, deg = 10 */    202,    582,   1001,   1715,   2739,   3763,   5811,   6281,   6870,   7002, 
/* msg =    692, deg = 10 */    203,    583,   1002,   1716,   2740,   3764,   5812,   6282,   6871,   7003, 
/* msg =    693, deg = 10 */    204,    584,   1003,   1717,   2741,   3765,   5813,   6283,   6872,   7004, 
/* msg =    694, deg = 10 */    205,    585,   1004,   1718,   2742,   3766,   5814,   6284,   6873,   7005, 
/* msg =    695, deg = 10 */    206,    586,   1005,   1719,   2743,   3767,   5815,   6285,   6874,   7006, 
/* msg =    696, deg = 10 */    207,    587,   1006,   1720,   2744,   3768,   5816,   6286,   6875,   7007, 
/* msg =    697, deg = 10 */    208,    588,   1007,   1721,   2745,   3769,   5817,   6287,   6876,   7008, 
/* msg =    698, deg = 10 */    209,    589,   1008,   1722,   2746,   3770,   5818,   6288,   6877,   7009, 
/* msg =    699, deg = 10 */    210,    590,   1009,   1723,   2747,   3771,   5819,   6289,   6878,   7010, 
/* msg =    700, deg = 10 */    211,    591,   1010,   1724,   2748,   3772,   5820,   6290,   6879,   7011, 
/* msg =    701, deg = 10 */    212,    592,   1011,   1725,   2749,   3773,   5821,   6291,   6880,   7012, 
/* msg =    702, deg = 10 */    213,    593,   1012,   1726,   2750,   3774,   5822,   6292,   6881,   7013, 
/* msg =    703, deg = 10 */    214,    594,   1013,   1727,   2751,   3775,   5823,   6293,   6882,   7014, 
/* msg =    704, deg = 10 */    215,    595,   1014,   1728,   2752,   3776,   5824,   6294,   6883,   7015, 
/* msg =    705, deg = 10 */    216,    596,   1015,   1729,   2753,   3777,   5825,   6295,   6884,   7016, 
/* msg =    706, deg = 10 */    217,    597,   1016,   1730,   2754,   3778,   5826,   6296,   6885,   7017, 
/* msg =    707, deg = 10 */    218,    598,   1017,   1731,   2755,   3779,   5827,   6297,   6886,   7018, 
/* msg =    708, deg = 10 */    219,    599,   1018,   1732,   2756,   3780,   5828,   6298,   6887,   7019, 
/* msg =    709, deg = 10 */    220,    600,   1019,   1733,   2757,   3781,   5829,   6299,   6888,   7020, 
/* msg =    710, deg = 10 */    221,    601,   1020,   1734,   2758,   3782,   5830,   6300,   6889,   7021, 
/* msg =    711, deg = 10 */    222,    602,   1021,   1735,   2759,   3783,   5831,   6301,   6890,   7022, 
/* msg =    712, deg = 10 */    223,    603,   1022,   1736,   2760,   3784,   5832,   6302,   6891,   7023, 
/* msg =    713, deg = 10 */    224,    604,   1023,   1737,   2761,   3785,   5833,   6303,   6892,   7024, 
/* msg =    714, deg = 10 */    225,    605,    768,   1738,   2762,   3786,   5834,   6304,   6893,   7025, 
/* msg =    715, deg = 10 */    226,    606,    769,   1739,   2763,   3787,   5835,   6305,   6894,   7026, 
/* msg =    716, deg = 10 */    227,    607,    770,   1740,   2764,   3788,   5836,   6306,   6895,   7027, 
/* msg =    717, deg = 10 */    228,    608,    771,   1741,   2765,   3789,   5837,   6307,   6896,   7028, 
/* msg =    718, deg = 10 */    229,    609,    772,   1742,   2766,   3790,   5838,   6308,   6897,   7029, 
/* msg =    719, deg = 10 */    230,    610,    773,   1743,   2767,   3791,   5839,   6309,   6898,   7030, 
/* msg =    720, deg = 10 */    231,    611,    774,   1744,   2768,   3792,   5840,   6310,   6899,   7031, 
/* msg =    721, deg = 10 */    232,    612,    775,   1745,   2769,   3793,   5841,   6311,   6900,   7032, 
/* msg =    722, deg = 10 */    233,    613,    776,   1746,   2770,   3794,   5842,   6312,   6901,   7033, 
/* msg =    723, deg = 10 */    234,    614,    777,   1747,   2771,   3795,   5843,   6313,   6902,   7034, 
/* msg =    724, deg = 10 */    235,    615,    778,   1748,   2772,   3796,   5844,   6314,   6903,   7035, 
/* msg =    725, deg = 10 */    236,    616,    779,   1749,   2773,   3797,   5845,   6315,   6904,   7036, 
/* msg =    726, deg = 10 */    237,    617,    780,   1750,   2774,   3798,   5846,   6316,   6905,   7037, 
/* msg =    727, deg = 10 */    238,    618,    781,   1751,   2775,   3799,   5847,   6317,   6906,   7038, 
/* msg =    728, deg = 10 */    239,    619,    782,   1752,   2776,   3800,   5848,   6318,   6907,   7039, 
/* msg =    729, deg = 10 */    240,    620,    783,   1753,   2777,   3801,   5849,   6319,   6908,   7040, 
/* msg =    730, deg = 10 */    241,    621,    784,   1754,   2778,   3802,   5850,   6320,   6909,   7041, 
/* msg =    731, deg = 10 */    242,    622,    785,   1755,   2779,   3803,   5851,   6321,   6910,   7042, 
/* msg =    732, deg = 10 */    243,    623,    786,   1756,   2780,   3804,   5852,   6322,   6911,   7043, 
/* msg =    733, deg = 10 */    244,    624,    787,   1757,   2781,   3805,   5853,   6323,   6656,   7044, 
/* msg =    734, deg = 10 */    245,    625,    788,   1758,   2782,   3806,   5854,   6324,   6657,   7045, 
/* msg =    735, deg = 10 */    246,    626,    789,   1759,   2783,   3807,   5855,   6325,   6658,   7046, 
/* msg =    736, deg = 10 */    247,    627,    790,   1760,   2784,   3808,   5856,   6326,   6659,   7047, 
/* msg =    737, deg = 10 */    248,    628,    791,   1761,   2785,   3809,   5857,   6327,   6660,   7048, 
/* msg =    738, deg = 10 */    249,    629,    792,   1762,   2786,   3810,   5858,   6328,   6661,   7049, 
/* msg =    739, deg = 10 */    250,    630,    793,   1763,   2787,   3811,   5859,   6329,   6662,   7050, 
/* msg =    740, deg = 10 */    251,    631,    794,   1764,   2788,   3812,   5860,   6330,   6663,   7051, 
/* msg =    741, deg = 10 */    252,    632,    795,   1765,   2789,   3813,   5861,   6331,   6664,   7052, 
/* msg =    742, deg = 10 */    253,    633,    796,   1766,   2790,   3814,   5862,   6332,   6665,   7053, 
/* msg =    743, deg = 10 */    254,    634,    797,   1767,   2791,   3815,   5863,   6333,   6666,   7054, 
/* msg =    744, deg = 10 */    255,    635,    798,   1768,   2792,   3816,   5864,   6334,   6667,   7055, 
/* msg =    745, deg = 10 */      0,    636,    799,   1769,   2793,   3817,   5865,   6335,   6668,   7056, 
/* msg =    746, deg = 10 */      1,    637,    800,   1770,   2794,   3818,   5866,   6336,   6669,   7057, 
/* msg =    747, deg = 10 */      2,    638,    801,   1771,   2795,   3819,   5867,   6337,   6670,   7058, 
/* msg =    748, deg = 10 */      3,    639,    802,   1772,   2796,   3820,   5868,   6338,   6671,   7059, 
/* msg =    749, deg = 10 */      4,    640,    803,   1773,   2797,   3821,   5869,   6339,   6672,   7060, 
/* msg =    750, deg = 10 */      5,    641,    804,   1774,   2798,   3822,   5870,   6340,   6673,   7061, 
/* msg =    751, deg = 10 */      6,    642,    805,   1775,   2799,   3823,   5871,   6341,   6674,   7062, 
/* msg =    752, deg = 10 */      7,    643,    806,   1776,   2800,   3824,   5872,   6342,   6675,   7063, 
/* msg =    753, deg = 10 */      8,    644,    807,   1777,   2801,   3825,   5873,   6343,   6676,   7064, 
/* msg =    754, deg = 10 */      9,    645,    808,   1778,   2802,   3826,   5874,   6344,   6677,   7065, 
/* msg =    755, deg = 10 */     10,    646,    809,   1779,   2803,   3827,   5875,   6345,   6678,   7066, 
/* msg =    756, deg = 10 */     11,    647,    810,   1780,   2804,   3828,   5876,   6346,   6679,   7067, 
/* msg =    757, deg = 10 */     12,    648,    811,   1781,   2805,   3829,   5877,   6347,   6680,   7068, 
/* msg =    758, deg = 10 */     13,    649,    812,   1782,   2806,   3830,   5878,   6348,   6681,   7069, 
/* msg =    759, deg = 10 */     14,    650,    813,   1783,   2807,   3831,   5879,   6349,   6682,   7070, 
/* msg =    760, deg = 10 */     15,    651,    814,   1784,   2808,   3832,   5880,   6350,   6683,   7071, 
/* msg =    761, deg = 10 */     16,    652,    815,   1785,   2809,   3833,   5881,   6351,   6684,   7072, 
/* msg =    762, deg = 10 */     17,    653,    816,   1786,   2810,   3834,   5882,   6352,   6685,   7073, 
/* msg =    763, deg = 10 */     18,    654,    817,   1787,   2811,   3835,   5883,   6353,   6686,   7074, 
/* msg =    764, deg = 10 */     19,    655,    818,   1788,   2812,   3836,   5884,   6354,   6687,   7075, 
/* msg =    765, deg = 10 */     20,    656,    819,   1789,   2813,   3837,   5885,   6355,   6688,   7076, 
/* msg =    766, deg = 10 */     21,    657,    820,   1790,   2814,   3838,   5886,   6356,   6689,   7077, 
/* msg =    767, deg = 10 */     22,    658,    821,   1791,   2815,   3839,   5887,   6357,   6690,   7078, 
/* msg =    768, deg = 10 */     99,    361,    901,   1792,   2816,   3840,   5888,   6151,   6431,   7074, 
/* msg =    769, deg = 10 */    100,    362,    902,   1793,   2817,   3841,   5889,   6152,   6432,   7075, 
/* msg =    770, deg = 10 */    101,    363,    903,   1794,   2818,   3842,   5890,   6153,   6433,   7076, 
/* msg =    771, deg = 10 */    102,    364,    904,   1795,   2819,   3843,   5891,   6154,   6434,   7077, 
/* msg =    772, deg = 10 */    103,    365,    905,   1796,   2820,   3844,   5892,   6155,   6435,   7078, 
/* msg =    773, deg = 10 */    104,    366,    906,   1797,   2821,   3845,   5893,   6156,   6436,   7079, 
/* msg =    774, deg = 10 */    105,    367,    907,   1798,   2822,   3846,   5894,   6157,   6437,   7080, 
/* msg =    775, deg = 10 */    106,    368,    908,   1799,   2823,   3847,   5895,   6158,   6438,   7081, 
/* msg =    776, deg = 10 */    107,    369,    909,   1800,   2824,   3848,   5896,   6159,   6439,   7082, 
/* msg =    777, deg = 10 */    108,    370,    910,   1801,   2825,   3849,   5897,   6160,   6440,   7083, 
/* msg =    778, deg = 10 */    109,    371,    911,   1802,   2826,   3850,   5898,   6161,   6441,   7084, 
/* msg =    779, deg = 10 */    110,    372,    912,   1803,   2827,   3851,   5899,   6162,   6442,   7085, 
/* msg =    780, deg = 10 */    111,    373,    913,   1804,   2828,   3852,   5900,   6163,   6443,   7086, 
/* msg =    781, deg = 10 */    112,    374,    914,   1805,   2829,   3853,   5901,   6164,   6444,   7087, 
/* msg =    782, deg = 10 */    113,    375,    915,   1806,   2830,   3854,   5902,   6165,   6445,   7088, 
/* msg =    783, deg = 10 */    114,    376,    916,   1807,   2831,   3855,   5903,   6166,   6446,   7089, 
/* msg =    784, deg = 10 */    115,    377,    917,   1808,   2832,   3856,   5904,   6167,   6447,   7090, 
/* msg =    785, deg = 10 */    116,    378,    918,   1809,   2833,   3857,   5905,   6168,   6448,   7091, 
/* msg =    786, deg = 10 */    117,    379,    919,   1810,   2834,   3858,   5906,   6169,   6449,   7092, 
/* msg =    787, deg = 10 */    118,    380,    920,   1811,   2835,   3859,   5907,   6170,   6450,   7093, 
/* msg =    788, deg = 10 */    119,    381,    921,   1812,   2836,   3860,   5908,   6171,   6451,   7094, 
/* msg =    789, deg = 10 */    120,    382,    922,   1813,   2837,   3861,   5909,   6172,   6452,   7095, 
/* msg =    790, deg = 10 */    121,    383,    923,   1814,   2838,   3862,   5910,   6173,   6453,   7096, 
/* msg =    791, deg = 10 */    122,    384,    924,   1815,   2839,   3863,   5911,   6174,   6454,   7097, 
/* msg =    792, deg = 10 */    123,    385,    925,   1816,   2840,   3864,   5912,   6175,   6455,   7098, 
/* msg =    793, deg = 10 */    124,    386,    926,   1817,   2841,   3865,   5913,   6176,   6456,   7099, 
/* msg =    794, deg = 10 */    125,    387,    927,   1818,   2842,   3866,   5914,   6177,   6457,   7100, 
/* msg =    795, deg = 10 */    126,    388,    928,   1819,   2843,   3867,   5915,   6178,   6458,   7101, 
/* msg =    796, deg = 10 */    127,    389,    929,   1820,   2844,   3868,   5916,   6179,   6459,   7102, 
/* msg =    797, deg = 10 */    128,    390,    930,   1821,   2845,   3869,   5917,   6180,   6460,   7103, 
/* msg =    798, deg = 10 */    129,    391,    931,   1822,   2846,   3870,   5918,   6181,   6461,   7104, 
/* msg =    799, deg = 10 */    130,    392,    932,   1823,   2847,   3871,   5919,   6182,   6462,   7105, 
/* msg =    800, deg = 10 */    131,    393,    933,   1824,   2848,   3872,   5920,   6183,   6463,   7106, 
/* msg =    801, deg = 10 */    132,    394,    934,   1825,   2849,   3873,   5921,   6184,   6464,   7107, 
/* msg =    802, deg = 10 */    133,    395,    935,   1826,   2850,   3874,   5922,   6185,   6465,   7108, 
/* msg =    803, deg = 10 */    134,    396,    936,   1827,   2851,   3875,   5923,   6186,   6466,   7109, 
/* msg =    804, deg = 10 */    135,    397,    937,   1828,   2852,   3876,   5924,   6187,   6467,   7110, 
/* msg =    805, deg = 10 */    136,    398,    938,   1829,   2853,   3877,   5925,   6188,   6468,   7111, 
/* msg =    806, deg = 10 */    137,    399,    939,   1830,   2854,   3878,   5926,   6189,   6469,   7112, 
/* msg =    807, deg = 10 */    138,    400,    940,   1831,   2855,   3879,   5927,   6190,   6470,   7113, 
/* msg =    808, deg = 10 */    139,    401,    941,   1832,   2856,   3880,   5928,   6191,   6471,   7114, 
/* msg =    809, deg = 10 */    140,    402,    942,   1833,   2857,   3881,   5929,   6192,   6472,   7115, 
/* msg =    810, deg = 10 */    141,    403,    943,   1834,   2858,   3882,   5930,   6193,   6473,   7116, 
/* msg =    811, deg = 10 */    142,    404,    944,   1835,   2859,   3883,   5931,   6194,   6474,   7117, 
/* msg =    812, deg = 10 */    143,    405,    945,   1836,   2860,   3884,   5932,   6195,   6475,   7118, 
/* msg =    813, deg = 10 */    144,    406,    946,   1837,   2861,   3885,   5933,   6196,   6476,   7119, 
/* msg =    814, deg = 10 */    145,    407,    947,   1838,   2862,   3886,   5934,   6197,   6477,   7120, 
/* msg =    815, deg = 10 */    146,    408,    948,   1839,   2863,   3887,   5935,   6198,   6478,   7121, 
/* msg =    816, deg = 10 */    147,    409,    949,   1840,   2864,   3888,   5936,   6199,   6479,   7122, 
/* msg =    817, deg = 10 */    148,    410,    950,   1841,   2865,   3889,   5937,   6200,   6480,   7123, 
/* msg =    818, deg = 10 */    149,    411,    951,   1842,   2866,   3890,   5938,   6201,   6481,   7124, 
/* msg =    819, deg = 10 */    150,    412,    952,   1843,   2867,   3891,   5939,   6202,   6482,   7125, 
/* msg =    820, deg = 10 */    151,    413,    953,   1844,   2868,   3892,   5940,   6203,   6483,   7126, 
/* msg =    821, deg = 10 */    152,    414,    954,   1845,   2869,   3893,   5941,   6204,   6484,   7127, 
/* msg =    822, deg = 10 */    153,    415,    955,   1846,   2870,   3894,   5942,   6205,   6485,   7128, 
/* msg =    823, deg = 10 */    154,    416,    956,   1847,   2871,   3895,   5943,   6206,   6486,   7129, 
/* msg =    824, deg = 10 */    155,    417,    957,   1848,   2872,   3896,   5944,   6207,   6487,   7130, 
/* msg =    825, deg = 10 */    156,    418,    958,   1849,   2873,   3897,   5945,   6208,   6488,   7131, 
/* msg =    826, deg = 10 */    157,    419,    959,   1850,   2874,   3898,   5946,   6209,   6489,   7132, 
/* msg =    827, deg = 10 */    158,    420,    960,   1851,   2875,   3899,   5947,   6210,   6490,   7133, 
/* msg =    828, deg = 10 */    159,    421,    961,   1852,   2876,   3900,   5948,   6211,   6491,   7134, 
/* msg =    829, deg = 10 */    160,    422,    962,   1853,   2877,   3901,   5949,   6212,   6492,   7135, 
/* msg =    830, deg = 10 */    161,    423,    963,   1854,   2878,   3902,   5950,   6213,   6493,   7136, 
/* msg =    831, deg = 10 */    162,    424,    964,   1855,   2879,   3903,   5951,   6214,   6494,   7137, 
/* msg =    832, deg = 10 */    163,    425,    965,   1856,   2880,   3904,   5952,   6215,   6495,   7138, 
/* msg =    833, deg = 10 */    164,    426,    966,   1857,   2881,   3905,   5953,   6216,   6496,   7139, 
/* msg =    834, deg = 10 */    165,    427,    967,   1858,   2882,   3906,   5954,   6217,   6497,   7140, 
/* msg =    835, deg = 10 */    166,    428,    968,   1859,   2883,   3907,   5955,   6218,   6498,   7141, 
/* msg =    836, deg = 10 */    167,    429,    969,   1860,   2884,   3908,   5956,   6219,   6499,   7142, 
/* msg =    837, deg = 10 */    168,    430,    970,   1861,   2885,   3909,   5957,   6220,   6500,   7143, 
/* msg =    838, deg = 10 */    169,    431,    971,   1862,   2886,   3910,   5958,   6221,   6501,   7144, 
/* msg =    839, deg = 10 */    170,    432,    972,   1863,   2887,   3911,   5959,   6222,   6502,   7145, 
/* msg =    840, deg = 10 */    171,    433,    973,   1864,   2888,   3912,   5960,   6223,   6503,   7146, 
/* msg =    841, deg = 10 */    172,    434,    974,   1865,   2889,   3913,   5961,   6224,   6504,   7147, 
/* msg =    842, deg = 10 */    173,    435,    975,   1866,   2890,   3914,   5962,   6225,   6505,   7148, 
/* msg =    843, deg = 10 */    174,    436,    976,   1867,   2891,   3915,   5963,   6226,   6506,   7149, 
/* msg =    844, deg = 10 */    175,    437,    977,   1868,   2892,   3916,   5964,   6227,   6507,   7150, 
/* msg =    845, deg = 10 */    176,    438,    978,   1869,   2893,   3917,   5965,   6228,   6508,   7151, 
/* msg =    846, deg = 10 */    177,    439,    979,   1870,   2894,   3918,   5966,   6229,   6509,   7152, 
/* msg =    847, deg = 10 */    178,    440,    980,   1871,   2895,   3919,   5967,   6230,   6510,   7153, 
/* msg =    848, deg = 10 */    179,    441,    981,   1872,   2896,   3920,   5968,   6231,   6511,   7154, 
/* msg =    849, deg = 10 */    180,    442,    982,   1873,   2897,   3921,   5969,   6232,   6512,   7155, 
/* msg =    850, deg = 10 */    181,    443,    983,   1874,   2898,   3922,   5970,   6233,   6513,   7156, 
/* msg =    851, deg = 10 */    182,    444,    984,   1875,   2899,   3923,   5971,   6234,   6514,   7157, 
/* msg =    852, deg = 10 */    183,    445,    985,   1876,   2900,   3924,   5972,   6235,   6515,   7158, 
/* msg =    853, deg = 10 */    184,    446,    986,   1877,   2901,   3925,   5973,   6236,   6516,   7159, 
/* msg =    854, deg = 10 */    185,    447,    987,   1878,   2902,   3926,   5974,   6237,   6517,   7160, 
/* msg =    855, deg = 10 */    186,    448,    988,   1879,   2903,   3927,   5975,   6238,   6518,   7161, 
/* msg =    856, deg = 10 */    187,    449,    989,   1880,   2904,   3928,   5976,   6239,   6519,   7162, 
/* msg =    857, deg = 10 */    188,    450,    990,   1881,   2905,   3929,   5977,   6240,   6520,   7163, 
/* msg =    858, deg = 10 */    189,    451,    991,   1882,   2906,   3930,   5978,   6241,   6521,   7164, 
/* msg =    859, deg = 10 */    190,    452,    992,   1883,   2907,   3931,   5979,   6242,   6522,   7165, 
/* msg =    860, deg = 10 */    191,    453,    993,   1884,   2908,   3932,   5980,   6243,   6523,   7166, 
/* msg =    861, deg = 10 */    192,    454,    994,   1885,   2909,   3933,   5981,   6244,   6524,   7167, 
/* msg =    862, deg = 10 */    193,    455,    995,   1886,   2910,   3934,   5982,   6245,   6525,   6912, 
/* msg =    863, deg = 10 */    194,    456,    996,   1887,   2911,   3935,   5983,   6246,   6526,   6913, 
/* msg =    864, deg = 10 */    195,    457,    997,   1888,   2912,   3936,   5984,   6247,   6527,   6914, 
/* msg =    865, deg = 10 */    196,    458,    998,   1889,   2913,   3937,   5985,   6248,   6528,   6915, 
/* msg =    866, deg = 10 */    197,    459,    999,   1890,   2914,   3938,   5986,   6249,   6529,   6916, 
/* msg =    867, deg = 10 */    198,    460,   1000,   1891,   2915,   3939,   5987,   6250,   6530,   6917, 
/* msg =    868, deg = 10 */    199,    461,   1001,   1892,   2916,   3940,   5988,   6251,   6531,   6918, 
/* msg =    869, deg = 10 */    200,    462,   1002,   1893,   2917,   3941,   5989,   6252,   6532,   6919, 
/* msg =    870, deg = 10 */    201,    463,   1003,   1894,   2918,   3942,   5990,   6253,   6533,   6920, 
/* msg =    871, deg = 10 */    202,    464,   1004,   1895,   2919,   3943,   5991,   6254,   6534,   6921, 
/* msg =    872, deg = 10 */    203,    465,   1005,   1896,   2920,   3944,   5992,   6255,   6535,   6922, 
/* msg =    873, deg = 10 */    204,    466,   1006,   1897,   2921,   3945,   5993,   6256,   6536,   6923, 
/* msg =    874, deg = 10 */    205,    467,   1007,   1898,   2922,   3946,   5994,   6257,   6537,   6924, 
/* msg =    875, deg = 10 */    206,    468,   1008,   1899,   2923,   3947,   5995,   6258,   6538,   6925, 
/* msg =    876, deg = 10 */    207,    469,   1009,   1900,   2924,   3948,   5996,   6259,   6539,   6926, 
/* msg =    877, deg = 10 */    208,    470,   1010,   1901,   2925,   3949,   5997,   6260,   6540,   6927, 
/* msg =    878, deg = 10 */    209,    471,   1011,   1902,   2926,   3950,   5998,   6261,   6541,   6928, 
/* msg =    879, deg = 10 */    210,    472,   1012,   1903,   2927,   3951,   5999,   6262,   6542,   6929, 
/* msg =    880, deg = 10 */    211,    473,   1013,   1904,   2928,   3952,   6000,   6263,   6543,   6930, 
/* msg =    881, deg = 10 */    212,    474,   1014,   1905,   2929,   3953,   6001,   6264,   6544,   6931, 
/* msg =    882, deg = 10 */    213,    475,   1015,   1906,   2930,   3954,   6002,   6265,   6545,   6932, 
/* msg =    883, deg = 10 */    214,    476,   1016,   1907,   2931,   3955,   6003,   6266,   6546,   6933, 
/* msg =    884, deg = 10 */    215,    477,   1017,   1908,   2932,   3956,   6004,   6267,   6547,   6934, 
/* msg =    885, deg = 10 */    216,    478,   1018,   1909,   2933,   3957,   6005,   6268,   6548,   6935, 
/* msg =    886, deg = 10 */    217,    479,   1019,   1910,   2934,   3958,   6006,   6269,   6549,   6936, 
/* msg =    887, deg = 10 */    218,    480,   1020,   1911,   2935,   3959,   6007,   6270,   6550,   6937, 
/* msg =    888, deg = 10 */    219,    481,   1021,   1912,   2936,   3960,   6008,   6271,   6551,   6938, 
/* msg =    889, deg = 10 */    220,    482,   1022,   1913,   2937,   3961,   6009,   6272,   6552,   6939, 
/* msg =    890, deg = 10 */    221,    483,   1023,   1914,   2938,   3962,   6010,   6273,   6553,   6940, 
/* msg =    891, deg = 10 */    222,    484,    768,   1915,   2939,   3963,   6011,   6274,   6554,   6941, 
/* msg =    892, deg = 10 */    223,    485,    769,   1916,   2940,   3964,   6012,   6275,   6555,   6942, 
/* msg =    893, deg = 10 */    224,    486,    770,   1917,   2941,   3965,   6013,   6276,   6556,   6943, 
/* msg =    894, deg = 10 */    225,    487,    771,   1918,   2942,   3966,   6014,   6277,   6557,   6944, 
/* msg =    895, deg = 10 */    226,    488,    772,   1919,   2943,   3967,   6015,   6278,   6558,   6945, 
/* msg =    896, deg = 10 */    227,    489,    773,   1920,   2944,   3968,   6016,   6279,   6559,   6946, 
/* msg =    897, deg = 10 */    228,    490,    774,   1921,   2945,   3969,   6017,   6280,   6560,   6947, 
/* msg =    898, deg = 10 */    229,    491,    775,   1922,   2946,   3970,   6018,   6281,   6561,   6948, 
/* msg =    899, deg = 10 */    230,    492,    776,   1923,   2947,   3971,   6019,   6282,   6562,   6949, 
/* msg =    900, deg = 10 */    231,    493,    777,   1924,   2948,   3972,   6020,   6283,   6563,   6950, 
/* msg =    901, deg = 10 */    232,    494,    778,   1925,   2949,   3973,   6021,   6284,   6564,   6951, 
/* msg =    902, deg = 10 */    233,    495,    779,   1926,   2950,   3974,   6022,   6285,   6565,   6952, 
/* msg =    903, deg = 10 */    234,    496,    780,   1927,   2951,   3975,   6023,   6286,   6566,   6953, 
/* msg =    904, deg = 10 */    235,    497,    781,   1928,   2952,   3976,   6024,   6287,   6567,   6954, 
/* msg =    905, deg = 10 */    236,    498,    782,   1929,   2953,   3977,   6025,   6288,   6568,   6955, 
/* msg =    906, deg = 10 */    237,    499,    783,   1930,   2954,   3978,   6026,   6289,   6569,   6956, 
/* msg =    907, deg = 10 */    238,    500,    784,   1931,   2955,   3979,   6027,   6290,   6570,   6957, 
/* msg =    908, deg = 10 */    239,    501,    785,   1932,   2956,   3980,   6028,   6291,   6571,   6958, 
/* msg =    909, deg = 10 */    240,    502,    786,   1933,   2957,   3981,   6029,   6292,   6572,   6959, 
/* msg =    910, deg = 10 */    241,    503,    787,   1934,   2958,   3982,   6030,   6293,   6573,   6960, 
/* msg =    911, deg = 10 */    242,    504,    788,   1935,   2959,   3983,   6031,   6294,   6574,   6961, 
/* msg =    912, deg = 10 */    243,    505,    789,   1936,   2960,   3984,   6032,   6295,   6575,   6962, 
/* msg =    913, deg = 10 */    244,    506,    790,   1937,   2961,   3985,   6033,   6296,   6576,   6963, 
/* msg =    914, deg = 10 */    245,    507,    791,   1938,   2962,   3986,   6034,   6297,   6577,   6964, 
/* msg =    915, deg = 10 */    246,    508,    792,   1939,   2963,   3987,   6035,   6298,   6578,   6965, 
/* msg =    916, deg = 10 */    247,    509,    793,   1940,   2964,   3988,   6036,   6299,   6579,   6966, 
/* msg =    917, deg = 10 */    248,    510,    794,   1941,   2965,   3989,   6037,   6300,   6580,   6967, 
/* msg =    918, deg = 10 */    249,    511,    795,   1942,   2966,   3990,   6038,   6301,   6581,   6968, 
/* msg =    919, deg = 10 */    250,    256,    796,   1943,   2967,   3991,   6039,   6302,   6582,   6969, 
/* msg =    920, deg = 10 */    251,    257,    797,   1944,   2968,   3992,   6040,   6303,   6583,   6970, 
/* msg =    921, deg = 10 */    252,    258,    798,   1945,   2969,   3993,   6041,   6304,   6584,   6971, 
/* msg =    922, deg = 10 */    253,    259,    799,   1946,   2970,   3994,   6042,   6305,   6585,   6972, 
/* msg =    923, deg = 10 */    254,    260,    800,   1947,   2971,   3995,   6043,   6306,   6586,   6973, 
/* msg =    924, deg = 10 */    255,    261,    801,   1948,   2972,   3996,   6044,   6307,   6587,   6974, 
/* msg =    925, deg = 10 */      0,    262,    802,   1949,   2973,   3997,   6045,   6308,   6588,   6975, 
/* msg =    926, deg = 10 */      1,    263,    803,   1950,   2974,   3998,   6046,   6309,   6589,   6976, 
/* msg =    927, deg = 10 */      2,    264,    804,   1951,   2975,   3999,   6047,   6310,   6590,   6977, 
/* msg =    928, deg = 10 */      3,    265,    805,   1952,   2976,   4000,   6048,   6311,   6591,   6978, 
/* msg =    929, deg = 10 */      4,    266,    806,   1953,   2977,   4001,   6049,   6312,   6592,   6979, 
/* msg =    930, deg = 10 */      5,    267,    807,   1954,   2978,   4002,   6050,   6313,   6593,   6980, 
/* msg =    931, deg = 10 */      6,    268,    808,   1955,   2979,   4003,   6051,   6314,   6594,   6981, 
/* msg =    932, deg = 10 */      7,    269,    809,   1956,   2980,   4004,   6052,   6315,   6595,   6982, 
/* msg =    933, deg = 10 */      8,    270,    810,   1957,   2981,   4005,   6053,   6316,   6596,   6983, 
/* msg =    934, deg = 10 */      9,    271,    811,   1958,   2982,   4006,   6054,   6317,   6597,   6984, 
/* msg =    935, deg = 10 */     10,    272,    812,   1959,   2983,   4007,   6055,   6318,   6598,   6985, 
/* msg =    936, deg = 10 */     11,    273,    813,   1960,   2984,   4008,   6056,   6319,   6599,   6986, 
/* msg =    937, deg = 10 */     12,    274,    814,   1961,   2985,   4009,   6057,   6320,   6600,   6987, 
/* msg =    938, deg = 10 */     13,    275,    815,   1962,   2986,   4010,   6058,   6321,   6601,   6988, 
/* msg =    939, deg = 10 */     14,    276,    816,   1963,   2987,   4011,   6059,   6322,   6602,   6989, 
/* msg =    940, deg = 10 */     15,    277,    817,   1964,   2988,   4012,   6060,   6323,   6603,   6990, 
/* msg =    941, deg = 10 */     16,    278,    818,   1965,   2989,   4013,   6061,   6324,   6604,   6991, 
/* msg =    942, deg = 10 */     17,    279,    819,   1966,   2990,   4014,   6062,   6325,   6605,   6992, 
/* msg =    943, deg = 10 */     18,    280,    820,   1967,   2991,   4015,   6063,   6326,   6606,   6993, 
/* msg =    944, deg = 10 */     19,    281,    821,   1968,   2992,   4016,   6064,   6327,   6607,   6994, 
/* msg =    945, deg = 10 */     20,    282,    822,   1969,   2993,   4017,   6065,   6328,   6608,   6995, 
/* msg =    946, deg = 10 */     21,    283,    823,   1970,   2994,   4018,   6066,   6329,   6609,   6996, 
/* msg =    947, deg = 10 */     22,    284,    824,   1971,   2995,   4019,   6067,   6330,   6610,   6997, 
/* msg =    948, deg = 10 */     23,    285,    825,   1972,   2996,   4020,   6068,   6331,   6611,   6998, 
/* msg =    949, deg = 10 */     24,    286,    826,   1973,   2997,   4021,   6069,   6332,   6612,   6999, 
/* msg =    950, deg = 10 */     25,    287,    827,   1974,   2998,   4022,   6070,   6333,   6613,   7000, 
/* msg =    951, deg = 10 */     26,    288,    828,   1975,   2999,   4023,   6071,   6334,   6614,   7001, 
/* msg =    952, deg = 10 */     27,    289,    829,   1976,   3000,   4024,   6072,   6335,   6615,   7002, 
/* msg =    953, deg = 10 */     28,    290,    830,   1977,   3001,   4025,   6073,   6336,   6616,   7003, 
/* msg =    954, deg = 10 */     29,    291,    831,   1978,   3002,   4026,   6074,   6337,   6617,   7004, 
/* msg =    955, deg = 10 */     30,    292,    832,   1979,   3003,   4027,   6075,   6338,   6618,   7005, 
/* msg =    956, deg = 10 */     31,    293,    833,   1980,   3004,   4028,   6076,   6339,   6619,   7006, 
/* msg =    957, deg = 10 */     32,    294,    834,   1981,   3005,   4029,   6077,   6340,   6620,   7007, 
/* msg =    958, deg = 10 */     33,    295,    835,   1982,   3006,   4030,   6078,   6341,   6621,   7008, 
/* msg =    959, deg = 10 */     34,    296,    836,   1983,   3007,   4031,   6079,   6342,   6622,   7009, 
/* msg =    960, deg = 10 */     35,    297,    837,   1984,   3008,   4032,   6080,   6343,   6623,   7010, 
/* msg =    961, deg = 10 */     36,    298,    838,   1985,   3009,   4033,   6081,   6344,   6624,   7011, 
/* msg =    962, deg = 10 */     37,    299,    839,   1986,   3010,   4034,   6082,   6345,   6625,   7012, 
/* msg =    963, deg = 10 */     38,    300,    840,   1987,   3011,   4035,   6083,   6346,   6626,   7013, 
/* msg =    964, deg = 10 */     39,    301,    841,   1988,   3012,   4036,   6084,   6347,   6627,   7014, 
/* msg =    965, deg = 10 */     40,    302,    842,   1989,   3013,   4037,   6085,   6348,   6628,   7015, 
/* msg =    966, deg = 10 */     41,    303,    843,   1990,   3014,   4038,   6086,   6349,   6629,   7016, 
/* msg =    967, deg = 10 */     42,    304,    844,   1991,   3015,   4039,   6087,   6350,   6630,   7017, 
/* msg =    968, deg = 10 */     43,    305,    845,   1992,   3016,   4040,   6088,   6351,   6631,   7018, 
/* msg =    969, deg = 10 */     44,    306,    846,   1993,   3017,   4041,   6089,   6352,   6632,   7019, 
/* msg =    970, deg = 10 */     45,    307,    847,   1994,   3018,   4042,   6090,   6353,   6633,   7020, 
/* msg =    971, deg = 10 */     46,    308,    848,   1995,   3019,   4043,   6091,   6354,   6634,   7021, 
/* msg =    972, deg = 10 */     47,    309,    849,   1996,   3020,   4044,   6092,   6355,   6635,   7022, 
/* msg =    973, deg = 10 */     48,    310,    850,   1997,   3021,   4045,   6093,   6356,   6636,   7023, 
/* msg =    974, deg = 10 */     49,    311,    851,   1998,   3022,   4046,   6094,   6357,   6637,   7024, 
/* msg =    975, deg = 10 */     50,    312,    852,   1999,   3023,   4047,   6095,   6358,   6638,   7025, 
/* msg =    976, deg = 10 */     51,    313,    853,   2000,   3024,   4048,   6096,   6359,   6639,   7026, 
/* msg =    977, deg = 10 */     52,    314,    854,   2001,   3025,   4049,   6097,   6360,   6640,   7027, 
/* msg =    978, deg = 10 */     53,    315,    855,   2002,   3026,   4050,   6098,   6361,   6641,   7028, 
/* msg =    979, deg = 10 */     54,    316,    856,   2003,   3027,   4051,   6099,   6362,   6642,   7029, 
/* msg =    980, deg = 10 */     55,    317,    857,   2004,   3028,   4052,   6100,   6363,   6643,   7030, 
/* msg =    981, deg = 10 */     56,    318,    858,   2005,   3029,   4053,   6101,   6364,   6644,   7031, 
/* msg =    982, deg = 10 */     57,    319,    859,   2006,   3030,   4054,   6102,   6365,   6645,   7032, 
/* msg =    983, deg = 10 */     58,    320,    860,   2007,   3031,   4055,   6103,   6366,   6646,   7033, 
/* msg =    984, deg = 10 */     59,    321,    861,   2008,   3032,   4056,   6104,   6367,   6647,   7034, 
/* msg =    985, deg = 10 */     60,    322,    862,   2009,   3033,   4057,   6105,   6368,   6648,   7035, 
/* msg =    986, deg = 10 */     61,    323,    863,   2010,   3034,   4058,   6106,   6369,   6649,   7036, 
/* msg =    987, deg = 10 */     62,    324,    864,   2011,   3035,   4059,   6107,   6370,   6650,   7037, 
/* msg =    988, deg = 10 */     63,    325,    865,   2012,   3036,   4060,   6108,   6371,   6651,   7038, 
/* msg =    989, deg = 10 */     64,    326,    866,   2013,   3037,   4061,   6109,   6372,   6652,   7039, 
/* msg =    990, deg = 10 */     65,    327,    867,   2014,   3038,   4062,   6110,   6373,   6653,   7040, 
/* msg =    991, deg = 10 */     66,    328,    868,   2015,   3039,   4063,   6111,   6374,   6654,   7041, 
/* msg =    992, deg = 10 */     67,    329,    869,   2016,   3040,   4064,   6112,   6375,   6655,   7042, 
/* msg =    993, deg = 10 */     68,    330,    870,   2017,   3041,   4065,   6113,   6376,   6400,   7043, 
/* msg =    994, deg = 10 */     69,    331,    871,   2018,   3042,   4066,   6114,   6377,   6401,   7044, 
/* msg =    995, deg = 10 */     70,    332,    872,   2019,   3043,   4067,   6115,   6378,   6402,   7045, 
/* msg =    996, deg = 10 */     71,    333,    873,   2020,   3044,   4068,   6116,   6379,   6403,   7046, 
/* msg =    997, deg = 10 */     72,    334,    874,   2021,   3045,   4069,   6117,   6380,   6404,   7047, 
/* msg =    998, deg = 10 */     73,    335,    875,   2022,   3046,   4070,   6118,   6381,   6405,   7048, 
/* msg =    999, deg = 10 */     74,    336,    876,   2023,   3047,   4071,   6119,   6382,   6406,   7049, 
/* msg =   1000, deg = 10 */     75,    337,    877,   2024,   3048,   4072,   6120,   6383,   6407,   7050, 
/* msg =   1001, deg = 10 */     76,    338,    878,   2025,   3049,   4073,   6121,   6384,   6408,   7051, 
/* msg =   1002, deg = 10 */     77,    339,    879,   2026,   3050,   4074,   6122,   6385,   6409,   7052, 
/* msg =   1003, deg = 10 */     78,    340,    880,   2027,   3051,   4075,   6123,   6386,   6410,   7053, 
/* msg =   1004, deg = 10 */     79,    341,    881,   2028,   3052,   4076,   6124,   6387,   6411,   7054, 
/* msg =   1005, deg = 10 */     80,    342,    882,   2029,   3053,   4077,   6125,   6388,   6412,   7055, 
/* msg =   1006, deg = 10 */     81,    343,    883,   2030,   3054,   4078,   6126,   6389,   6413,   7056, 
/* msg =   1007, deg = 10 */     82,    344,    884,   2031,   3055,   4079,   6127,   6390,   6414,   7057, 
/* msg =   1008, deg = 10 */     83,    345,    885,   2032,   3056,   4080,   6128,   6391,   6415,   7058, 
/* msg =   1009, deg = 10 */     84,    346,    886,   2033,   3057,   4081,   6129,   6392,   6416,   7059, 
/* msg =   1010, deg = 10 */     85,    347,    887,   2034,   3058,   4082,   6130,   6393,   6417,   7060, 
/* msg =   1011, deg = 10 */     86,    348,    888,   2035,   3059,   4083,   6131,   6394,   6418,   7061, 
/* msg =   1012, deg = 10 */     87,    349,    889,   2036,   3060,   4084,   6132,   6395,   6419,   7062, 
/* msg =   1013, deg = 10 */     88,    350,    890,   2037,   3061,   4085,   6133,   6396,   6420,   7063, 
/* msg =   1014, deg = 10 */     89,    351,    891,   2038,   3062,   4086,   6134,   6397,   6421,   7064, 
/* msg =   1015, deg = 10 */     90,    352,    892,   2039,   3063,   4087,   6135,   6398,   6422,   7065, 
/* msg =   1016, deg = 10 */     91,    353,    893,   2040,   3064,   4088,   6136,   6399,   6423,   7066, 
/* msg =   1017, deg = 10 */     92,    354,    894,   2041,   3065,   4089,   6137,   6144,   6424,   7067, 
/* msg =   1018, deg = 10 */     93,    355,    895,   2042,   3066,   4090,   6138,   6145,   6425,   7068, 
/* msg =   1019, deg = 10 */     94,    356,    896,   2043,   3067,   4091,   6139,   6146,   6426,   7069, 
/* msg =   1020, deg = 10 */     95,    357,    897,   2044,   3068,   4092,   6140,   6147,   6427,   7070, 
/* msg =   1021, deg = 10 */     96,    358,    898,   2045,   3069,   4093,   6141,   6148,   6428,   7071, 
/* msg =   1022, deg = 10 */     97,    359,    899,   2046,   3070,   4094,   6142,   6149,   6429,   7072, 
/* msg =   1023, deg = 10 */     98,    360,    900,   2047,   3071,   4095,   6143,   6150,   6430,   7073, 
/* msg =   1024, deg = 10 */      0,   1090,   1709,   1834,   2048,   3793,   3943,   5210,   5560,   6144, 
/* msg =   1025, deg = 10 */      1,   1091,   1710,   1835,   2049,   3794,   3944,   5211,   5561,   6145, 
/* msg =   1026, deg = 10 */      2,   1092,   1711,   1836,   2050,   3795,   3945,   5212,   5562,   6146, 
/* msg =   1027, deg = 10 */      3,   1093,   1712,   1837,   2051,   3796,   3946,   5213,   5563,   6147, 
/* msg =   1028, deg = 10 */      4,   1094,   1713,   1838,   2052,   3797,   3947,   5214,   5564,   6148, 
/* msg =   1029, deg = 10 */      5,   1095,   1714,   1839,   2053,   3798,   3948,   5215,   5565,   6149, 
/* msg =   1030, deg = 10 */      6,   1096,   1715,   1840,   2054,   3799,   3949,   5216,   5566,   6150, 
/* msg =   1031, deg = 10 */      7,   1097,   1716,   1841,   2055,   3800,   3950,   5217,   5567,   6151, 
/* msg =   1032, deg = 10 */      8,   1098,   1717,   1842,   2056,   3801,   3951,   5218,   5568,   6152, 
/* msg =   1033, deg = 10 */      9,   1099,   1718,   1843,   2057,   3802,   3952,   5219,   5569,   6153, 
/* msg =   1034, deg = 10 */     10,   1100,   1719,   1844,   2058,   3803,   3953,   5220,   5570,   6154, 
/* msg =   1035, deg = 10 */     11,   1101,   1720,   1845,   2059,   3804,   3954,   5221,   5571,   6155, 
/* msg =   1036, deg = 10 */     12,   1102,   1721,   1846,   2060,   3805,   3955,   5222,   5572,   6156, 
/* msg =   1037, deg = 10 */     13,   1103,   1722,   1847,   2061,   3806,   3956,   5223,   5573,   6157, 
/* msg =   1038, deg = 10 */     14,   1104,   1723,   1848,   2062,   3807,   3957,   5224,   5574,   6158, 
/* msg =   1039, deg = 10 */     15,   1105,   1724,   1849,   2063,   3808,   3958,   5225,   5575,   6159, 
/* msg =   1040, deg = 10 */     16,   1106,   1725,   1850,   2064,   3809,   3959,   5226,   5576,   6160, 
/* msg =   1041, deg = 10 */     17,   1107,   1726,   1851,   2065,   3810,   3960,   5227,   5577,   6161, 
/* msg =   1042, deg = 10 */     18,   1108,   1727,   1852,   2066,   3811,   3961,   5228,   5578,   6162, 
/* msg =   1043, deg = 10 */     19,   1109,   1728,   1853,   2067,   3812,   3962,   5229,   5579,   6163, 
/* msg =   1044, deg = 10 */     20,   1110,   1729,   1854,   2068,   3813,   3963,   5230,   5580,   6164, 
/* msg =   1045, deg = 10 */     21,   1111,   1730,   1855,   2069,   3814,   3964,   5231,   5581,   6165, 
/* msg =   1046, deg = 10 */     22,   1112,   1731,   1856,   2070,   3815,   3965,   5232,   5582,   6166, 
/* msg =   1047, deg = 10 */     23,   1113,   1732,   1857,   2071,   3816,   3966,   5233,   5583,   6167, 
/* msg =   1048, deg = 10 */     24,   1114,   1733,   1858,   2072,   3817,   3967,   5234,   5584,   6168, 
/* msg =   1049, deg = 10 */     25,   1115,   1734,   1859,   2073,   3818,   3968,   5235,   5585,   6169, 
/* msg =   1050, deg = 10 */     26,   1116,   1735,   1860,   2074,   3819,   3969,   5236,   5586,   6170, 
/* msg =   1051, deg = 10 */     27,   1117,   1736,   1861,   2075,   3820,   3970,   5237,   5587,   6171, 
/* msg =   1052, deg = 10 */     28,   1118,   1737,   1862,   2076,   3821,   3971,   5238,   5588,   6172, 
/* msg =   1053, deg = 10 */     29,   1119,   1738,   1863,   2077,   3822,   3972,   5239,   5589,   6173, 
/* msg =   1054, deg = 10 */     30,   1120,   1739,   1864,   2078,   3823,   3973,   5240,   5590,   6174, 
/* msg =   1055, deg = 10 */     31,   1121,   1740,   1865,   2079,   3824,   3974,   5241,   5591,   6175, 
/* msg =   1056, deg = 10 */     32,   1122,   1741,   1866,   2080,   3825,   3975,   5242,   5592,   6176, 
/* msg =   1057, deg = 10 */     33,   1123,   1742,   1867,   2081,   3826,   3976,   5243,   5593,   6177, 
/* msg =   1058, deg = 10 */     34,   1124,   1743,   1868,   2082,   3827,   3977,   5244,   5594,   6178, 
/* msg =   1059, deg = 10 */     35,   1125,   1744,   1869,   2083,   3828,   3978,   5245,   5595,   6179, 
/* msg =   1060, deg = 10 */     36,   1126,   1745,   1870,   2084,   3829,   3979,   5246,   5596,   6180, 
/* msg =   1061, deg = 10 */     37,   1127,   1746,   1871,   2085,   3830,   3980,   5247,   5597,   6181, 
/* msg =   1062, deg = 10 */     38,   1128,   1747,   1872,   2086,   3831,   3981,   5248,   5598,   6182, 
/* msg =   1063, deg = 10 */     39,   1129,   1748,   1873,   2087,   3832,   3982,   5249,   5599,   6183, 
/* msg =   1064, deg = 10 */     40,   1130,   1749,   1874,   2088,   3833,   3983,   5250,   5600,   6184, 
/* msg =   1065, deg = 10 */     41,   1131,   1750,   1875,   2089,   3834,   3984,   5251,   5601,   6185, 
/* msg =   1066, deg = 10 */     42,   1132,   1751,   1876,   2090,   3835,   3985,   5252,   5602,   6186, 
/* msg =   1067, deg = 10 */     43,   1133,   1752,   1877,   2091,   3836,   3986,   5253,   5603,   6187, 
/* msg =   1068, deg = 10 */     44,   1134,   1753,   1878,   2092,   3837,   3987,   5254,   5604,   6188, 
/* msg =   1069, deg = 10 */     45,   1135,   1754,   1879,   2093,   3838,   3988,   5255,   5605,   6189, 
/* msg =   1070, deg = 10 */     46,   1136,   1755,   1880,   2094,   3839,   3989,   5256,   5606,   6190, 
/* msg =   1071, deg = 10 */     47,   1137,   1756,   1881,   2095,   3584,   3990,   5257,   5607,   6191, 
/* msg =   1072, deg = 10 */     48,   1138,   1757,   1882,   2096,   3585,   3991,   5258,   5608,   6192, 
/* msg =   1073, deg = 10 */     49,   1139,   1758,   1883,   2097,   3586,   3992,   5259,   5609,   6193, 
/* msg =   1074, deg = 10 */     50,   1140,   1759,   1884,   2098,   3587,   3993,   5260,   5610,   6194, 
/* msg =   1075, deg = 10 */     51,   1141,   1760,   1885,   2099,   3588,   3994,   5261,   5611,   6195, 
/* msg =   1076, deg = 10 */     52,   1142,   1761,   1886,   2100,   3589,   3995,   5262,   5612,   6196, 
/* msg =   1077, deg = 10 */     53,   1143,   1762,   1887,   2101,   3590,   3996,   5263,   5613,   6197, 
/* msg =   1078, deg = 10 */     54,   1144,   1763,   1888,   2102,   3591,   3997,   5264,   5614,   6198, 
/* msg =   1079, deg = 10 */     55,   1145,   1764,   1889,   2103,   3592,   3998,   5265,   5615,   6199, 
/* msg =   1080, deg = 10 */     56,   1146,   1765,   1890,   2104,   3593,   3999,   5266,   5616,   6200, 
/* msg =   1081, deg = 10 */     57,   1147,   1766,   1891,   2105,   3594,   4000,   5267,   5617,   6201, 
/* msg =   1082, deg = 10 */     58,   1148,   1767,   1892,   2106,   3595,   4001,   5268,   5618,   6202, 
/* msg =   1083, deg = 10 */     59,   1149,   1768,   1893,   2107,   3596,   4002,   5269,   5619,   6203, 
/* msg =   1084, deg = 10 */     60,   1150,   1769,   1894,   2108,   3597,   4003,   5270,   5620,   6204, 
/* msg =   1085, deg = 10 */     61,   1151,   1770,   1895,   2109,   3598,   4004,   5271,   5621,   6205, 
/* msg =   1086, deg = 10 */     62,   1152,   1771,   1896,   2110,   3599,   4005,   5272,   5622,   6206, 
/* msg =   1087, deg = 10 */     63,   1153,   1772,   1897,   2111,   3600,   4006,   5273,   5623,   6207, 
/* msg =   1088, deg = 10 */     64,   1154,   1773,   1898,   2112,   3601,   4007,   5274,   5624,   6208, 
/* msg =   1089, deg = 10 */     65,   1155,   1774,   1899,   2113,   3602,   4008,   5275,   5625,   6209, 
/* msg =   1090, deg = 10 */     66,   1156,   1775,   1900,   2114,   3603,   4009,   5276,   5626,   6210, 
/* msg =   1091, deg = 10 */     67,   1157,   1776,   1901,   2115,   3604,   4010,   5277,   5627,   6211, 
/* msg =   1092, deg = 10 */     68,   1158,   1777,   1902,   2116,   3605,   4011,   5278,   5628,   6212, 
/* msg =   1093, deg = 10 */     69,   1159,   1778,   1903,   2117,   3606,   4012,   5279,   5629,   6213, 
/* msg =   1094, deg = 10 */     70,   1160,   1779,   1904,   2118,   3607,   4013,   5280,   5630,   6214, 
/* msg =   1095, deg = 10 */     71,   1161,   1780,   1905,   2119,   3608,   4014,   5281,   5631,   6215, 
/* msg =   1096, deg = 10 */     72,   1162,   1781,   1906,   2120,   3609,   4015,   5282,   5376,   6216, 
/* msg =   1097, deg = 10 */     73,   1163,   1782,   1907,   2121,   3610,   4016,   5283,   5377,   6217, 
/* msg =   1098, deg = 10 */     74,   1164,   1783,   1908,   2122,   3611,   4017,   5284,   5378,   6218, 
/* msg =   1099, deg = 10 */     75,   1165,   1784,   1909,   2123,   3612,   4018,   5285,   5379,   6219, 
/* msg =   1100, deg = 10 */     76,   1166,   1785,   1910,   2124,   3613,   4019,   5286,   5380,   6220, 
/* msg =   1101, deg = 10 */     77,   1167,   1786,   1911,   2125,   3614,   4020,   5287,   5381,   6221, 
/* msg =   1102, deg = 10 */     78,   1168,   1787,   1912,   2126,   3615,   4021,   5288,   5382,   6222, 
/* msg =   1103, deg = 10 */     79,   1169,   1788,   1913,   2127,   3616,   4022,   5289,   5383,   6223, 
/* msg =   1104, deg = 10 */     80,   1170,   1789,   1914,   2128,   3617,   4023,   5290,   5384,   6224, 
/* msg =   1105, deg = 10 */     81,   1171,   1790,   1915,   2129,   3618,   4024,   5291,   5385,   6225, 
/* msg =   1106, deg = 10 */     82,   1172,   1791,   1916,   2130,   3619,   4025,   5292,   5386,   6226, 
/* msg =   1107, deg = 10 */     83,   1173,   1536,   1917,   2131,   3620,   4026,   5293,   5387,   6227, 
/* msg =   1108, deg = 10 */     84,   1174,   1537,   1918,   2132,   3621,   4027,   5294,   5388,   6228, 
/* msg =   1109, deg = 10 */     85,   1175,   1538,   1919,   2133,   3622,   4028,   5295,   5389,   6229, 
/* msg =   1110, deg = 10 */     86,   1176,   1539,   1920,   2134,   3623,   4029,   5296,   5390,   6230, 
/* msg =   1111, deg = 10 */     87,   1177,   1540,   1921,   2135,   3624,   4030,   5297,   5391,   6231, 
/* msg =   1112, deg = 10 */     88,   1178,   1541,   1922,   2136,   3625,   4031,   5298,   5392,   6232, 
/* msg =   1113, deg = 10 */     89,   1179,   1542,   1923,   2137,   3626,   4032,   5299,   5393,   6233, 
/* msg =   1114, deg = 10 */     90,   1180,   1543,   1924,   2138,   3627,   4033,   5300,   5394,   6234, 
/* msg =   1115, deg = 10 */     91,   1181,   1544,   1925,   2139,   3628,   4034,   5301,   5395,   6235, 
/* msg =   1116, deg = 10 */     92,   1182,   1545,   1926,   2140,   3629,   4035,   5302,   5396,   6236, 
/* msg =   1117, deg = 10 */     93,   1183,   1546,   1927,   2141,   3630,   4036,   5303,   5397,   6237, 
/* msg =   1118, deg = 10 */     94,   1184,   1547,   1928,   2142,   3631,   4037,   5304,   5398,   6238, 
/* msg =   1119, deg = 10 */     95,   1185,   1548,   1929,   2143,   3632,   4038,   5305,   5399,   6239, 
/* msg =   1120, deg = 10 */     96,   1186,   1549,   1930,   2144,   3633,   4039,   5306,   5400,   6240, 
/* msg =   1121, deg = 10 */     97,   1187,   1550,   1931,   2145,   3634,   4040,   5307,   5401,   6241, 
/* msg =   1122, deg = 10 */     98,   1188,   1551,   1932,   2146,   3635,   4041,   5308,   5402,   6242, 
/* msg =   1123, deg = 10 */     99,   1189,   1552,   1933,   2147,   3636,   4042,   5309,   5403,   6243, 
/* msg =   1124, deg = 10 */    100,   1190,   1553,   1934,   2148,   3637,   4043,   5310,   5404,   6244, 
/* msg =   1125, deg = 10 */    101,   1191,   1554,   1935,   2149,   3638,   4044,   5311,   5405,   6245, 
/* msg =   1126, deg = 10 */    102,   1192,   1555,   1936,   2150,   3639,   4045,   5312,   5406,   6246, 
/* msg =   1127, deg = 10 */    103,   1193,   1556,   1937,   2151,   3640,   4046,   5313,   5407,   6247, 
/* msg =   1128, deg = 10 */    104,   1194,   1557,   1938,   2152,   3641,   4047,   5314,   5408,   6248, 
/* msg =   1129, deg = 10 */    105,   1195,   1558,   1939,   2153,   3642,   4048,   5315,   5409,   6249, 
/* msg =   1130, deg = 10 */    106,   1196,   1559,   1940,   2154,   3643,   4049,   5316,   5410,   6250, 
/* msg =   1131, deg = 10 */    107,   1197,   1560,   1941,   2155,   3644,   4050,   5317,   5411,   6251, 
/* msg =   1132, deg = 10 */    108,   1198,   1561,   1942,   2156,   3645,   4051,   5318,   5412,   6252, 
/* msg =   1133, deg = 10 */    109,   1199,   1562,   1943,   2157,   3646,   4052,   5319,   5413,   6253, 
/* msg =   1134, deg = 10 */    110,   1200,   1563,   1944,   2158,   3647,   4053,   5320,   5414,   6254, 
/* msg =   1135, deg = 10 */    111,   1201,   1564,   1945,   2159,   3648,   4054,   5321,   5415,   6255, 
/* msg =   1136, deg = 10 */    112,   1202,   1565,   1946,   2160,   3649,   4055,   5322,   5416,   6256, 
/* msg =   1137, deg = 10 */    113,   1203,   1566,   1947,   2161,   3650,   4056,   5323,   5417,   6257, 
/* msg =   1138, deg = 10 */    114,   1204,   1567,   1948,   2162,   3651,   4057,   5324,   5418,   6258, 
/* msg =   1139, deg = 10 */    115,   1205,   1568,   1949,   2163,   3652,   4058,   5325,   5419,   6259, 
/* msg =   1140, deg = 10 */    116,   1206,   1569,   1950,   2164,   3653,   4059,   5326,   5420,   6260, 
/* msg =   1141, deg = 10 */    117,   1207,   1570,   1951,   2165,   3654,   4060,   5327,   5421,   6261, 
/* msg =   1142, deg = 10 */    118,   1208,   1571,   1952,   2166,   3655,   4061,   5328,   5422,   6262, 
/* msg =   1143, deg = 10 */    119,   1209,   1572,   1953,   2167,   3656,   4062,   5329,   5423,   6263, 
/* msg =   1144, deg = 10 */    120,   1210,   1573,   1954,   2168,   3657,   4063,   5330,   5424,   6264, 
/* msg =   1145, deg = 10 */    121,   1211,   1574,   1955,   2169,   3658,   4064,   5331,   5425,   6265, 
/* msg =   1146, deg = 10 */    122,   1212,   1575,   1956,   2170,   3659,   4065,   5332,   5426,   6266, 
/* msg =   1147, deg = 10 */    123,   1213,   1576,   1957,   2171,   3660,   4066,   5333,   5427,   6267, 
/* msg =   1148, deg = 10 */    124,   1214,   1577,   1958,   2172,   3661,   4067,   5334,   5428,   6268, 
/* msg =   1149, deg = 10 */    125,   1215,   1578,   1959,   2173,   3662,   4068,   5335,   5429,   6269, 
/* msg =   1150, deg = 10 */    126,   1216,   1579,   1960,   2174,   3663,   4069,   5336,   5430,   6270, 
/* msg =   1151, deg = 10 */    127,   1217,   1580,   1961,   2175,   3664,   4070,   5337,   5431,   6271, 
/* msg =   1152, deg = 10 */    128,   1218,   1581,   1962,   2176,   3665,   4071,   5338,   5432,   6272, 
/* msg =   1153, deg = 10 */    129,   1219,   1582,   1963,   2177,   3666,   4072,   5339,   5433,   6273, 
/* msg =   1154, deg = 10 */    130,   1220,   1583,   1964,   2178,   3667,   4073,   5340,   5434,   6274, 
/* msg =   1155, deg = 10 */    131,   1221,   1584,   1965,   2179,   3668,   4074,   5341,   5435,   6275, 
/* msg =   1156, deg = 10 */    132,   1222,   1585,   1966,   2180,   3669,   4075,   5342,   5436,   6276, 
/* msg =   1157, deg = 10 */    133,   1223,   1586,   1967,   2181,   3670,   4076,   5343,   5437,   6277, 
/* msg =   1158, deg = 10 */    134,   1224,   1587,   1968,   2182,   3671,   4077,   5344,   5438,   6278, 
/* msg =   1159, deg = 10 */    135,   1225,   1588,   1969,   2183,   3672,   4078,   5345,   5439,   6279, 
/* msg =   1160, deg = 10 */    136,   1226,   1589,   1970,   2184,   3673,   4079,   5346,   5440,   6280, 
/* msg =   1161, deg = 10 */    137,   1227,   1590,   1971,   2185,   3674,   4080,   5347,   5441,   6281, 
/* msg =   1162, deg = 10 */    138,   1228,   1591,   1972,   2186,   3675,   4081,   5348,   5442,   6282, 
/* msg =   1163, deg = 10 */    139,   1229,   1592,   1973,   2187,   3676,   4082,   5349,   5443,   6283, 
/* msg =   1164, deg = 10 */    140,   1230,   1593,   1974,   2188,   3677,   4083,   5350,   5444,   6284, 
/* msg =   1165, deg = 10 */    141,   1231,   1594,   1975,   2189,   3678,   4084,   5351,   5445,   6285, 
/* msg =   1166, deg = 10 */    142,   1232,   1595,   1976,   2190,   3679,   4085,   5352,   5446,   6286, 
/* msg =   1167, deg = 10 */    143,   1233,   1596,   1977,   2191,   3680,   4086,   5353,   5447,   6287, 
/* msg =   1168, deg = 10 */    144,   1234,   1597,   1978,   2192,   3681,   4087,   5354,   5448,   6288, 
/* msg =   1169, deg = 10 */    145,   1235,   1598,   1979,   2193,   3682,   4088,   5355,   5449,   6289, 
/* msg =   1170, deg = 10 */    146,   1236,   1599,   1980,   2194,   3683,   4089,   5356,   5450,   6290, 
/* msg =   1171, deg = 10 */    147,   1237,   1600,   1981,   2195,   3684,   4090,   5357,   5451,   6291, 
/* msg =   1172, deg = 10 */    148,   1238,   1601,   1982,   2196,   3685,   4091,   5358,   5452,   6292, 
/* msg =   1173, deg = 10 */    149,   1239,   1602,   1983,   2197,   3686,   4092,   5359,   5453,   6293, 
/* msg =   1174, deg = 10 */    150,   1240,   1603,   1984,   2198,   3687,   4093,   5360,   5454,   6294, 
/* msg =   1175, deg = 10 */    151,   1241,   1604,   1985,   2199,   3688,   4094,   5361,   5455,   6295, 
/* msg =   1176, deg = 10 */    152,   1242,   1605,   1986,   2200,   3689,   4095,   5362,   5456,   6296, 
/* msg =   1177, deg = 10 */    153,   1243,   1606,   1987,   2201,   3690,   3840,   5363,   5457,   6297, 
/* msg =   1178, deg = 10 */    154,   1244,   1607,   1988,   2202,   3691,   3841,   5364,   5458,   6298, 
/* msg =   1179, deg = 10 */    155,   1245,   1608,   1989,   2203,   3692,   3842,   5365,   5459,   6299, 
/* msg =   1180, deg = 10 */    156,   1246,   1609,   1990,   2204,   3693,   3843,   5366,   5460,   6300, 
/* msg =   1181, deg = 10 */    157,   1247,   1610,   1991,   2205,   3694,   3844,   5367,   5461,   6301, 
/* msg =   1182, deg = 10 */    158,   1248,   1611,   1992,   2206,   3695,   3845,   5368,   5462,   6302, 
/* msg =   1183, deg = 10 */    159,   1249,   1612,   1993,   2207,   3696,   3846,   5369,   5463,   6303, 
/* msg =   1184, deg = 10 */    160,   1250,   1613,   1994,   2208,   3697,   3847,   5370,   5464,   6304, 
/* msg =   1185, deg = 10 */    161,   1251,   1614,   1995,   2209,   3698,   3848,   5371,   5465,   6305, 
/* msg =   1186, deg = 10 */    162,   1252,   1615,   1996,   2210,   3699,   3849,   5372,   5466,   6306, 
/* msg =   1187, deg = 10 */    163,   1253,   1616,   1997,   2211,   3700,   3850,   5373,   5467,   6307, 
/* msg =   1188, deg = 10 */    164,   1254,   1617,   1998,   2212,   3701,   3851,   5374,   5468,   6308, 
/* msg =   1189, deg = 10 */    165,   1255,   1618,   1999,   2213,   3702,   3852,   5375,   5469,   6309, 
/* msg =   1190, deg = 10 */    166,   1256,   1619,   2000,   2214,   3703,   3853,   5120,   5470,   6310, 
/* msg =   1191, deg = 10 */    167,   1257,   1620,   2001,   2215,   3704,   3854,   5121,   5471,   6311, 
/* msg =   1192, deg = 10 */    168,   1258,   1621,   2002,   2216,   3705,   3855,   5122,   5472,   6312, 
/* msg =   1193, deg = 10 */    169,   1259,   1622,   2003,   2217,   3706,   3856,   5123,   5473,   6313, 
/* msg =   1194, deg = 10 */    170,   1260,   1623,   2004,   2218,   3707,   3857,   5124,   5474,   6314, 
/* msg =   1195, deg = 10 */    171,   1261,   1624,   2005,   2219,   3708,   3858,   5125,   5475,   6315, 
/* msg =   1196, deg = 10 */    172,   1262,   1625,   2006,   2220,   3709,   3859,   5126,   5476,   6316, 
/* msg =   1197, deg = 10 */    173,   1263,   1626,   2007,   2221,   3710,   3860,   5127,   5477,   6317, 
/* msg =   1198, deg = 10 */    174,   1264,   1627,   2008,   2222,   3711,   3861,   5128,   5478,   6318, 
/* msg =   1199, deg = 10 */    175,   1265,   1628,   2009,   2223,   3712,   3862,   5129,   5479,   6319, 
/* msg =   1200, deg = 10 */    176,   1266,   1629,   2010,   2224,   3713,   3863,   5130,   5480,   6320, 
/* msg =   1201, deg = 10 */    177,   1267,   1630,   2011,   2225,   3714,   3864,   5131,   5481,   6321, 
/* msg =   1202, deg = 10 */    178,   1268,   1631,   2012,   2226,   3715,   3865,   5132,   5482,   6322, 
/* msg =   1203, deg = 10 */    179,   1269,   1632,   2013,   2227,   3716,   3866,   5133,   5483,   6323, 
/* msg =   1204, deg = 10 */    180,   1270,   1633,   2014,   2228,   3717,   3867,   5134,   5484,   6324, 
/* msg =   1205, deg = 10 */    181,   1271,   1634,   2015,   2229,   3718,   3868,   5135,   5485,   6325, 
/* msg =   1206, deg = 10 */    182,   1272,   1635,   2016,   2230,   3719,   3869,   5136,   5486,   6326, 
/* msg =   1207, deg = 10 */    183,   1273,   1636,   2017,   2231,   3720,   3870,   5137,   5487,   6327, 
/* msg =   1208, deg = 10 */    184,   1274,   1637,   2018,   2232,   3721,   3871,   5138,   5488,   6328, 
/* msg =   1209, deg = 10 */    185,   1275,   1638,   2019,   2233,   3722,   3872,   5139,   5489,   6329, 
/* msg =   1210, deg = 10 */    186,   1276,   1639,   2020,   2234,   3723,   3873,   5140,   5490,   6330, 
/* msg =   1211, deg = 10 */    187,   1277,   1640,   2021,   2235,   3724,   3874,   5141,   5491,   6331, 
/* msg =   1212, deg = 10 */    188,   1278,   1641,   2022,   2236,   3725,   3875,   5142,   5492,   6332, 
/* msg =   1213, deg = 10 */    189,   1279,   1642,   2023,   2237,   3726,   3876,   5143,   5493,   6333, 
/* msg =   1214, deg = 10 */    190,   1024,   1643,   2024,   2238,   3727,   3877,   5144,   5494,   6334, 
/* msg =   1215, deg = 10 */    191,   1025,   1644,   2025,   2239,   3728,   3878,   5145,   5495,   6335, 
/* msg =   1216, deg = 10 */    192,   1026,   1645,   2026,   2240,   3729,   3879,   5146,   5496,   6336, 
/* msg =   1217, deg = 10 */    193,   1027,   1646,   2027,   2241,   3730,   3880,   5147,   5497,   6337, 
/* msg =   1218, deg = 10 */    194,   1028,   1647,   2028,   2242,   3731,   3881,   5148,   5498,   6338, 
/* msg =   1219, deg = 10 */    195,   1029,   1648,   2029,   2243,   3732,   3882,   5149,   5499,   6339, 
/* msg =   1220, deg = 10 */    196,   1030,   1649,   2030,   2244,   3733,   3883,   5150,   5500,   6340, 
/* msg =   1221, deg = 10 */    197,   1031,   1650,   2031,   2245,   3734,   3884,   5151,   5501,   6341, 
/* msg =   1222, deg = 10 */    198,   1032,   1651,   2032,   2246,   3735,   3885,   5152,   5502,   6342, 
/* msg =   1223, deg = 10 */    199,   1033,   1652,   2033,   2247,   3736,   3886,   5153,   5503,   6343, 
/* msg =   1224, deg = 10 */    200,   1034,   1653,   2034,   2248,   3737,   3887,   5154,   5504,   6344, 
/* msg =   1225, deg = 10 */    201,   1035,   1654,   2035,   2249,   3738,   3888,   5155,   5505,   6345, 
/* msg =   1226, deg = 10 */    202,   1036,   1655,   2036,   2250,   3739,   3889,   5156,   5506,   6346, 
/* msg =   1227, deg = 10 */    203,   1037,   1656,   2037,   2251,   3740,   3890,   5157,   5507,   6347, 
/* msg =   1228, deg = 10 */    204,   1038,   1657,   2038,   2252,   3741,   3891,   5158,   5508,   6348, 
/* msg =   1229, deg = 10 */    205,   1039,   1658,   2039,   2253,   3742,   3892,   5159,   5509,   6349, 
/* msg =   1230, deg = 10 */    206,   1040,   1659,   2040,   2254,   3743,   3893,   5160,   5510,   6350, 
/* msg =   1231, deg = 10 */    207,   1041,   1660,   2041,   2255,   3744,   3894,   5161,   5511,   6351, 
/* msg =   1232, deg = 10 */    208,   1042,   1661,   2042,   2256,   3745,   3895,   5162,   5512,   6352, 
/* msg =   1233, deg = 10 */    209,   1043,   1662,   2043,   2257,   3746,   3896,   5163,   5513,   6353, 
/* msg =   1234, deg = 10 */    210,   1044,   1663,   2044,   2258,   3747,   3897,   5164,   5514,   6354, 
/* msg =   1235, deg = 10 */    211,   1045,   1664,   2045,   2259,   3748,   3898,   5165,   5515,   6355, 
/* msg =   1236, deg = 10 */    212,   1046,   1665,   2046,   2260,   3749,   3899,   5166,   5516,   6356, 
/* msg =   1237, deg = 10 */    213,   1047,   1666,   2047,   2261,   3750,   3900,   5167,   5517,   6357, 
/* msg =   1238, deg = 10 */    214,   1048,   1667,   1792,   2262,   3751,   3901,   5168,   5518,   6358, 
/* msg =   1239, deg = 10 */    215,   1049,   1668,   1793,   2263,   3752,   3902,   5169,   5519,   6359, 
/* msg =   1240, deg = 10 */    216,   1050,   1669,   1794,   2264,   3753,   3903,   5170,   5520,   6360, 
/* msg =   1241, deg = 10 */    217,   1051,   1670,   1795,   2265,   3754,   3904,   5171,   5521,   6361, 
/* msg =   1242, deg = 10 */    218,   1052,   1671,   1796,   2266,   3755,   3905,   5172,   5522,   6362, 
/* msg =   1243, deg = 10 */    219,   1053,   1672,   1797,   2267,   3756,   3906,   5173,   5523,   6363, 
/* msg =   1244, deg = 10 */    220,   1054,   1673,   1798,   2268,   3757,   3907,   5174,   5524,   6364, 
/* msg =   1245, deg = 10 */    221,   1055,   1674,   1799,   2269,   3758,   3908,   5175,   5525,   6365, 
/* msg =   1246, deg = 10 */    222,   1056,   1675,   1800,   2270,   3759,   3909,   5176,   5526,   6366, 
/* msg =   1247, deg = 10 */    223,   1057,   1676,   1801,   2271,   3760,   3910,   5177,   5527,   6367, 
/* msg =   1248, deg = 10 */    224,   1058,   1677,   1802,   2272,   3761,   3911,   5178,   5528,   6368, 
/* msg =   1249, deg = 10 */    225,   1059,   1678,   1803,   2273,   3762,   3912,   5179,   5529,   6369, 
/* msg =   1250, deg = 10 */    226,   1060,   1679,   1804,   2274,   3763,   3913,   5180,   5530,   6370, 
/* msg =   1251, deg = 10 */    227,   1061,   1680,   1805,   2275,   3764,   3914,   5181,   5531,   6371, 
/* msg =   1252, deg = 10 */    228,   1062,   1681,   1806,   2276,   3765,   3915,   5182,   5532,   6372, 
/* msg =   1253, deg = 10 */    229,   1063,   1682,   1807,   2277,   3766,   3916,   5183,   5533,   6373, 
/* msg =   1254, deg = 10 */    230,   1064,   1683,   1808,   2278,   3767,   3917,   5184,   5534,   6374, 
/* msg =   1255, deg = 10 */    231,   1065,   1684,   1809,   2279,   3768,   3918,   5185,   5535,   6375, 
/* msg =   1256, deg = 10 */    232,   1066,   1685,   1810,   2280,   3769,   3919,   5186,   5536,   6376, 
/* msg =   1257, deg = 10 */    233,   1067,   1686,   1811,   2281,   3770,   3920,   5187,   5537,   6377, 
/* msg =   1258, deg = 10 */    234,   1068,   1687,   1812,   2282,   3771,   3921,   5188,   5538,   6378, 
/* msg =   1259, deg = 10 */    235,   1069,   1688,   1813,   2283,   3772,   3922,   5189,   5539,   6379, 
/* msg =   1260, deg = 10 */    236,   1070,   1689,   1814,   2284,   3773,   3923,   5190,   5540,   6380, 
/* msg =   1261, deg = 10 */    237,   1071,   1690,   1815,   2285,   3774,   3924,   5191,   5541,   6381, 
/* msg =   1262, deg = 10 */    238,   1072,   1691,   1816,   2286,   3775,   3925,   5192,   5542,   6382, 
/* msg =   1263, deg = 10 */    239,   1073,   1692,   1817,   2287,   3776,   3926,   5193,   5543,   6383, 
/* msg =   1264, deg = 10 */    240,   1074,   1693,   1818,   2288,   3777,   3927,   5194,   5544,   6384, 
/* msg =   1265, deg = 10 */    241,   1075,   1694,   1819,   2289,   3778,   3928,   5195,   5545,   6385, 
/* msg =   1266, deg = 10 */    242,   1076,   1695,   1820,   2290,   3779,   3929,   5196,   5546,   6386, 
/* msg =   1267, deg = 10 */    243,   1077,   1696,   1821,   2291,   3780,   3930,   5197,   5547,   6387, 
/* msg =   1268, deg = 10 */    244,   1078,   1697,   1822,   2292,   3781,   3931,   5198,   5548,   6388, 
/* msg =   1269, deg = 10 */    245,   1079,   1698,   1823,   2293,   3782,   3932,   5199,   5549,   6389, 
/* msg =   1270, deg = 10 */    246,   1080,   1699,   1824,   2294,   3783,   3933,   5200,   5550,   6390, 
/* msg =   1271, deg = 10 */    247,   1081,   1700,   1825,   2295,   3784,   3934,   5201,   5551,   6391, 
/* msg =   1272, deg = 10 */    248,   1082,   1701,   1826,   2296,   3785,   3935,   5202,   5552,   6392, 
/* msg =   1273, deg = 10 */    249,   1083,   1702,   1827,   2297,   3786,   3936,   5203,   5553,   6393, 
/* msg =   1274, deg = 10 */    250,   1084,   1703,   1828,   2298,   3787,   3937,   5204,   5554,   6394, 
/* msg =   1275, deg = 10 */    251,   1085,   1704,   1829,   2299,   3788,   3938,   5205,   5555,   6395, 
/* msg =   1276, deg = 10 */    252,   1086,   1705,   1830,   2300,   3789,   3939,   5206,   5556,   6396, 
/* msg =   1277, deg = 10 */    253,   1087,   1706,   1831,   2301,   3790,   3940,   5207,   5557,   6397, 
/* msg =   1278, deg = 10 */    254,   1088,   1707,   1832,   2302,   3791,   3941,   5208,   5558,   6398, 
/* msg =   1279, deg = 10 */    255,   1089,   1708,   1833,   2303,   3792,   3942,   5209,   5559,   6399, 
/* msg =   1280, deg = 10 */    256,   1267,   1322,   1844,   2304,   3213,   3910,   5613,   5709,   6400, 
/* msg =   1281, deg = 10 */    257,   1268,   1323,   1845,   2305,   3214,   3911,   5614,   5710,   6401, 
/* msg =   1282, deg = 10 */    258,   1269,   1324,   1846,   2306,   3215,   3912,   5615,   5711,   6402, 
/* msg =   1283, deg = 10 */    259,   1270,   1325,   1847,   2307,   3216,   3913,   5616,   5712,   6403, 
/* msg =   1284, deg = 10 */    260,   1271,   1326,   1848,   2308,   3217,   3914,   5617,   5713,   6404, 
/* msg =   1285, deg = 10 */    261,   1272,   1327,   1849,   2309,   3218,   3915,   5618,   5714,   6405, 
/* msg =   1286, deg = 10 */    262,   1273,   1328,   1850,   2310,   3219,   3916,   5619,   5715,   6406, 
/* msg =   1287, deg = 10 */    263,   1274,   1329,   1851,   2311,   3220,   3917,   5620,   5716,   6407, 
/* msg =   1288, deg = 10 */    264,   1275,   1330,   1852,   2312,   3221,   3918,   5621,   5717,   6408, 
/* msg =   1289, deg = 10 */    265,   1276,   1331,   1853,   2313,   3222,   3919,   5622,   5718,   6409, 
/* msg =   1290, deg = 10 */    266,   1277,   1332,   1854,   2314,   3223,   3920,   5623,   5719,   6410, 
/* msg =   1291, deg = 10 */    267,   1278,   1333,   1855,   2315,   3224,   3921,   5624,   5720,   6411, 
/* msg =   1292, deg = 10 */    268,   1279,   1334,   1856,   2316,   3225,   3922,   5625,   5721,   6412, 
/* msg =   1293, deg = 10 */    269,   1024,   1335,   1857,   2317,   3226,   3923,   5626,   5722,   6413, 
/* msg =   1294, deg = 10 */    270,   1025,   1336,   1858,   2318,   3227,   3924,   5627,   5723,   6414, 
/* msg =   1295, deg = 10 */    271,   1026,   1337,   1859,   2319,   3228,   3925,   5628,   5724,   6415, 
/* msg =   1296, deg = 10 */    272,   1027,   1338,   1860,   2320,   3229,   3926,   5629,   5725,   6416, 
/* msg =   1297, deg = 10 */    273,   1028,   1339,   1861,   2321,   3230,   3927,   5630,   5726,   6417, 
/* msg =   1298, deg = 10 */    274,   1029,   1340,   1862,   2322,   3231,   3928,   5631,   5727,   6418, 
/* msg =   1299, deg = 10 */    275,   1030,   1341,   1863,   2323,   3232,   3929,   5376,   5728,   6419, 
/* msg =   1300, deg = 10 */    276,   1031,   1342,   1864,   2324,   3233,   3930,   5377,   5729,   6420, 
/* msg =   1301, deg = 10 */    277,   1032,   1343,   1865,   2325,   3234,   3931,   5378,   5730,   6421, 
/* msg =   1302, deg = 10 */    278,   1033,   1344,   1866,   2326,   3235,   3932,   5379,   5731,   6422, 
/* msg =   1303, deg = 10 */    279,   1034,   1345,   1867,   2327,   3236,   3933,   5380,   5732,   6423, 
/* msg =   1304, deg = 10 */    280,   1035,   1346,   1868,   2328,   3237,   3934,   5381,   5733,   6424, 
/* msg =   1305, deg = 10 */    281,   1036,   1347,   1869,   2329,   3238,   3935,   5382,   5734,   6425, 
/* msg =   1306, deg = 10 */    282,   1037,   1348,   1870,   2330,   3239,   3936,   5383,   5735,   6426, 
/* msg =   1307, deg = 10 */    283,   1038,   1349,   1871,   2331,   3240,   3937,   5384,   5736,   6427, 
/* msg =   1308, deg = 10 */    284,   1039,   1350,   1872,   2332,   3241,   3938,   5385,   5737,   6428, 
/* msg =   1309, deg = 10 */    285,   1040,   1351,   1873,   2333,   3242,   3939,   5386,   5738,   6429, 
/* msg =   1310, deg = 10 */    286,   1041,   1352,   1874,   2334,   3243,   3940,   5387,   5739,   6430, 
/* msg =   1311, deg = 10 */    287,   1042,   1353,   1875,   2335,   3244,   3941,   5388,   5740,   6431, 
/* msg =   1312, deg = 10 */    288,   1043,   1354,   1876,   2336,   3245,   3942,   5389,   5741,   6432, 
/* msg =   1313, deg = 10 */    289,   1044,   1355,   1877,   2337,   3246,   3943,   5390,   5742,   6433, 
/* msg =   1314, deg = 10 */    290,   1045,   1356,   1878,   2338,   3247,   3944,   5391,   5743,   6434, 
/* msg =   1315, deg = 10 */    291,   1046,   1357,   1879,   2339,   3248,   3945,   5392,   5744,   6435, 
/* msg =   1316, deg = 10 */    292,   1047,   1358,   1880,   2340,   3249,   3946,   5393,   5745,   6436, 
/* msg =   1317, deg = 10 */    293,   1048,   1359,   1881,   2341,   3250,   3947,   5394,   5746,   6437, 
/* msg =   1318, deg = 10 */    294,   1049,   1360,   1882,   2342,   3251,   3948,   5395,   5747,   6438, 
/* msg =   1319, deg = 10 */    295,   1050,   1361,   1883,   2343,   3252,   3949,   5396,   5748,   6439, 
/* msg =   1320, deg = 10 */    296,   1051,   1362,   1884,   2344,   3253,   3950,   5397,   5749,   6440, 
/* msg =   1321, deg = 10 */    297,   1052,   1363,   1885,   2345,   3254,   3951,   5398,   5750,   6441, 
/* msg =   1322, deg = 10 */    298,   1053,   1364,   1886,   2346,   3255,   3952,   5399,   5751,   6442, 
/* msg =   1323, deg = 10 */    299,   1054,   1365,   1887,   2347,   3256,   3953,   5400,   5752,   6443, 
/* msg =   1324, deg = 10 */    300,   1055,   1366,   1888,   2348,   3257,   3954,   5401,   5753,   6444, 
/* msg =   1325, deg = 10 */    301,   1056,   1367,   1889,   2349,   3258,   3955,   5402,   5754,   6445, 
/* msg =   1326, deg = 10 */    302,   1057,   1368,   1890,   2350,   3259,   3956,   5403,   5755,   6446, 
/* msg =   1327, deg = 10 */    303,   1058,   1369,   1891,   2351,   3260,   3957,   5404,   5756,   6447, 
/* msg =   1328, deg = 10 */    304,   1059,   1370,   1892,   2352,   3261,   3958,   5405,   5757,   6448, 
/* msg =   1329, deg = 10 */    305,   1060,   1371,   1893,   2353,   3262,   3959,   5406,   5758,   6449, 
/* msg =   1330, deg = 10 */    306,   1061,   1372,   1894,   2354,   3263,   3960,   5407,   5759,   6450, 
/* msg =   1331, deg = 10 */    307,   1062,   1373,   1895,   2355,   3264,   3961,   5408,   5760,   6451, 
/* msg =   1332, deg = 10 */    308,   1063,   1374,   1896,   2356,   3265,   3962,   5409,   5761,   6452, 
/* msg =   1333, deg = 10 */    309,   1064,   1375,   1897,   2357,   3266,   3963,   5410,   5762,   6453, 
/* msg =   1334, deg = 10 */    310,   1065,   1376,   1898,   2358,   3267,   3964,   5411,   5763,   6454, 
/* msg =   1335, deg = 10 */    311,   1066,   1377,   1899,   2359,   3268,   3965,   5412,   5764,   6455, 
/* msg =   1336, deg = 10 */    312,   1067,   1378,   1900,   2360,   3269,   3966,   5413,   5765,   6456, 
/* msg =   1337, deg = 10 */    313,   1068,   1379,   1901,   2361,   3270,   3967,   5414,   5766,   6457, 
/* msg =   1338, deg = 10 */    314,   1069,   1380,   1902,   2362,   3271,   3968,   5415,   5767,   6458, 
/* msg =   1339, deg = 10 */    315,   1070,   1381,   1903,   2363,   3272,   3969,   5416,   5768,   6459, 
/* msg =   1340, deg = 10 */    316,   1071,   1382,   1904,   2364,   3273,   3970,   5417,   5769,   6460, 
/* msg =   1341, deg = 10 */    317,   1072,   1383,   1905,   2365,   3274,   3971,   5418,   5770,   6461, 
/* msg =   1342, deg = 10 */    318,   1073,   1384,   1906,   2366,   3275,   3972,   5419,   5771,   6462, 
/* msg =   1343, deg = 10 */    319,   1074,   1385,   1907,   2367,   3276,   3973,   5420,   5772,   6463, 
/* msg =   1344, deg = 10 */    320,   1075,   1386,   1908,   2368,   3277,   3974,   5421,   5773,   6464, 
/* msg =   1345, deg = 10 */    321,   1076,   1387,   1909,   2369,   3278,   3975,   5422,   5774,   6465, 
/* msg =   1346, deg = 10 */    322,   1077,   1388,   1910,   2370,   3279,   3976,   5423,   5775,   6466, 
/* msg =   1347, deg = 10 */    323,   1078,   1389,   1911,   2371,   3280,   3977,   5424,   5776,   6467, 
/* msg =   1348, deg = 10 */    324,   1079,   1390,   1912,   2372,   3281,   3978,   5425,   5777,   6468, 
/* msg =   1349, deg = 10 */    325,   1080,   1391,   1913,   2373,   3282,   3979,   5426,   5778,   6469, 
/* msg =   1350, deg = 10 */    326,   1081,   1392,   1914,   2374,   3283,   3980,   5427,   5779,   6470, 
/* msg =   1351, deg = 10 */    327,   1082,   1393,   1915,   2375,   3284,   3981,   5428,   5780,   6471, 
/* msg =   1352, deg = 10 */    328,   1083,   1394,   1916,   2376,   3285,   3982,   5429,   5781,   6472, 
/* msg =   1353, deg = 10 */    329,   1084,   1395,   1917,   2377,   3286,   3983,   5430,   5782,   6473, 
/* msg =   1354, deg = 10 */    330,   1085,   1396,   1918,   2378,   3287,   3984,   5431,   5783,   6474, 
/* msg =   1355, deg = 10 */    331,   1086,   1397,   1919,   2379,   3288,   3985,   5432,   5784,   6475, 
/* msg =   1356, deg = 10 */    332,   1087,   1398,   1920,   2380,   3289,   3986,   5433,   5785,   6476, 
/* msg =   1357, deg = 10 */    333,   1088,   1399,   1921,   2381,   3290,   3987,   5434,   5786,   6477, 
/* msg =   1358, deg = 10 */    334,   1089,   1400,   1922,   2382,   3291,   3988,   5435,   5787,   6478, 
/* msg =   1359, deg = 10 */    335,   1090,   1401,   1923,   2383,   3292,   3989,   5436,   5788,   6479, 
/* msg =   1360, deg = 10 */    336,   1091,   1402,   1924,   2384,   3293,   3990,   5437,   5789,   6480, 
/* msg =   1361, deg = 10 */    337,   1092,   1403,   1925,   2385,   3294,   3991,   5438,   5790,   6481, 
/* msg =   1362, deg = 10 */    338,   1093,   1404,   1926,   2386,   3295,   3992,   5439,   5791,   6482, 
/* msg =   1363, deg = 10 */    339,   1094,   1405,   1927,   2387,   3296,   3993,   5440,   5792,   6483, 
/* msg =   1364, deg = 10 */    340,   1095,   1406,   1928,   2388,   3297,   3994,   5441,   5793,   6484, 
/* msg =   1365, deg = 10 */    341,   1096,   1407,   1929,   2389,   3298,   3995,   5442,   5794,   6485, 
/* msg =   1366, deg = 10 */    342,   1097,   1408,   1930,   2390,   3299,   3996,   5443,   5795,   6486, 
/* msg =   1367, deg = 10 */    343,   1098,   1409,   1931,   2391,   3300,   3997,   5444,   5796,   6487, 
/* msg =   1368, deg = 10 */    344,   1099,   1410,   1932,   2392,   3301,   3998,   5445,   5797,   6488, 
/* msg =   1369, deg = 10 */    345,   1100,   1411,   1933,   2393,   3302,   3999,   5446,   5798,   6489, 
/* msg =   1370, deg = 10 */    346,   1101,   1412,   1934,   2394,   3303,   4000,   5447,   5799,   6490, 
/* msg =   1371, deg = 10 */    347,   1102,   1413,   1935,   2395,   3304,   4001,   5448,   5800,   6491, 
/* msg =   1372, deg = 10 */    348,   1103,   1414,   1936,   2396,   3305,   4002,   5449,   5801,   6492, 
/* msg =   1373, deg = 10 */    349,   1104,   1415,   1937,   2397,   3306,   4003,   5450,   5802,   6493, 
/* msg =   1374, deg = 10 */    350,   1105,   1416,   1938,   2398,   3307,   4004,   5451,   5803,   6494, 
/* msg =   1375, deg = 10 */    351,   1106,   1417,   1939,   2399,   3308,   4005,   5452,   5804,   6495, 
/* msg =   1376, deg = 10 */    352,   1107,   1418,   1940,   2400,   3309,   4006,   5453,   5805,   6496, 
/* msg =   1377, deg = 10 */    353,   1108,   1419,   1941,   2401,   3310,   4007,   5454,   5806,   6497, 
/* msg =   1378, deg = 10 */    354,   1109,   1420,   1942,   2402,   3311,   4008,   5455,   5807,   6498, 
/* msg =   1379, deg = 10 */    355,   1110,   1421,   1943,   2403,   3312,   4009,   5456,   5808,   6499, 
/* msg =   1380, deg = 10 */    356,   1111,   1422,   1944,   2404,   3313,   4010,   5457,   5809,   6500, 
/* msg =   1381, deg = 10 */    357,   1112,   1423,   1945,   2405,   3314,   4011,   5458,   5810,   6501, 
/* msg =   1382, deg = 10 */    358,   1113,   1424,   1946,   2406,   3315,   4012,   5459,   5811,   6502, 
/* msg =   1383, deg = 10 */    359,   1114,   1425,   1947,   2407,   3316,   4013,   5460,   5812,   6503, 
/* msg =   1384, deg = 10 */    360,   1115,   1426,   1948,   2408,   3317,   4014,   5461,   5813,   6504, 
/* msg =   1385, deg = 10 */    361,   1116,   1427,   1949,   2409,   3318,   4015,   5462,   5814,   6505, 
/* msg =   1386, deg = 10 */    362,   1117,   1428,   1950,   2410,   3319,   4016,   5463,   5815,   6506, 
/* msg =   1387, deg = 10 */    363,   1118,   1429,   1951,   2411,   3320,   4017,   5464,   5816,   6507, 
/* msg =   1388, deg = 10 */    364,   1119,   1430,   1952,   2412,   3321,   4018,   5465,   5817,   6508, 
/* msg =   1389, deg = 10 */    365,   1120,   1431,   1953,   2413,   3322,   4019,   5466,   5818,   6509, 
/* msg =   1390, deg = 10 */    366,   1121,   1432,   1954,   2414,   3323,   4020,   5467,   5819,   6510, 
/* msg =   1391, deg = 10 */    367,   1122,   1433,   1955,   2415,   3324,   4021,   5468,   5820,   6511, 
/* msg =   1392, deg = 10 */    368,   1123,   1434,   1956,   2416,   3325,   4022,   5469,   5821,   6512, 
/* msg =   1393, deg = 10 */    369,   1124,   1435,   1957,   2417,   3326,   4023,   5470,   5822,   6513, 
/* msg =   1394, deg = 10 */    370,   1125,   1436,   1958,   2418,   3327,   4024,   5471,   5823,   6514, 
/* msg =   1395, deg = 10 */    371,   1126,   1437,   1959,   2419,   3072,   4025,   5472,   5824,   6515, 
/* msg =   1396, deg = 10 */    372,   1127,   1438,   1960,   2420,   3073,   4026,   5473,   5825,   6516, 
/* msg =   1397, deg = 10 */    373,   1128,   1439,   1961,   2421,   3074,   4027,   5474,   5826,   6517, 
/* msg =   1398, deg = 10 */    374,   1129,   1440,   1962,   2422,   3075,   4028,   5475,   5827,   6518, 
/* msg =   1399, deg = 10 */    375,   1130,   1441,   1963,   2423,   3076,   4029,   5476,   5828,   6519, 
/* msg =   1400, deg = 10 */    376,   1131,   1442,   1964,   2424,   3077,   4030,   5477,   5829,   6520, 
/* msg =   1401, deg = 10 */    377,   1132,   1443,   1965,   2425,   3078,   4031,   5478,   5830,   6521, 
/* msg =   1402, deg = 10 */    378,   1133,   1444,   1966,   2426,   3079,   4032,   5479,   5831,   6522, 
/* msg =   1403, deg = 10 */    379,   1134,   1445,   1967,   2427,   3080,   4033,   5480,   5832,   6523, 
/* msg =   1404, deg = 10 */    380,   1135,   1446,   1968,   2428,   3081,   4034,   5481,   5833,   6524, 
/* msg =   1405, deg = 10 */    381,   1136,   1447,   1969,   2429,   3082,   4035,   5482,   5834,   6525, 
/* msg =   1406, deg = 10 */    382,   1137,   1448,   1970,   2430,   3083,   4036,   5483,   5835,   6526, 
/* msg =   1407, deg = 10 */    383,   1138,   1449,   1971,   2431,   3084,   4037,   5484,   5836,   6527, 
/* msg =   1408, deg = 10 */    384,   1139,   1450,   1972,   2432,   3085,   4038,   5485,   5837,   6528, 
/* msg =   1409, deg = 10 */    385,   1140,   1451,   1973,   2433,   3086,   4039,   5486,   5838,   6529, 
/* msg =   1410, deg = 10 */    386,   1141,   1452,   1974,   2434,   3087,   4040,   5487,   5839,   6530, 
/* msg =   1411, deg = 10 */    387,   1142,   1453,   1975,   2435,   3088,   4041,   5488,   5840,   6531, 
/* msg =   1412, deg = 10 */    388,   1143,   1454,   1976,   2436,   3089,   4042,   5489,   5841,   6532, 
/* msg =   1413, deg = 10 */    389,   1144,   1455,   1977,   2437,   3090,   4043,   5490,   5842,   6533, 
/* msg =   1414, deg = 10 */    390,   1145,   1456,   1978,   2438,   3091,   4044,   5491,   5843,   6534, 
/* msg =   1415, deg = 10 */    391,   1146,   1457,   1979,   2439,   3092,   4045,   5492,   5844,   6535, 
/* msg =   1416, deg = 10 */    392,   1147,   1458,   1980,   2440,   3093,   4046,   5493,   5845,   6536, 
/* msg =   1417, deg = 10 */    393,   1148,   1459,   1981,   2441,   3094,   4047,   5494,   5846,   6537, 
/* msg =   1418, deg = 10 */    394,   1149,   1460,   1982,   2442,   3095,   4048,   5495,   5847,   6538, 
/* msg =   1419, deg = 10 */    395,   1150,   1461,   1983,   2443,   3096,   4049,   5496,   5848,   6539, 
/* msg =   1420, deg = 10 */    396,   1151,   1462,   1984,   2444,   3097,   4050,   5497,   5849,   6540, 
/* msg =   1421, deg = 10 */    397,   1152,   1463,   1985,   2445,   3098,   4051,   5498,   5850,   6541, 
/* msg =   1422, deg = 10 */    398,   1153,   1464,   1986,   2446,   3099,   4052,   5499,   5851,   6542, 
/* msg =   1423, deg = 10 */    399,   1154,   1465,   1987,   2447,   3100,   4053,   5500,   5852,   6543, 
/* msg =   1424, deg = 10 */    400,   1155,   1466,   1988,   2448,   3101,   4054,   5501,   5853,   6544, 
/* msg =   1425, deg = 10 */    401,   1156,   1467,   1989,   2449,   3102,   4055,   5502,   5854,   6545, 
/* msg =   1426, deg = 10 */    402,   1157,   1468,   1990,   2450,   3103,   4056,   5503,   5855,   6546, 
/* msg =   1427, deg = 10 */    403,   1158,   1469,   1991,   2451,   3104,   4057,   5504,   5856,   6547, 
/* msg =   1428, deg = 10 */    404,   1159,   1470,   1992,   2452,   3105,   4058,   5505,   5857,   6548, 
/* msg =   1429, deg = 10 */    405,   1160,   1471,   1993,   2453,   3106,   4059,   5506,   5858,   6549, 
/* msg =   1430, deg = 10 */    406,   1161,   1472,   1994,   2454,   3107,   4060,   5507,   5859,   6550, 
/* msg =   1431, deg = 10 */    407,   1162,   1473,   1995,   2455,   3108,   4061,   5508,   5860,   6551, 
/* msg =   1432, deg = 10 */    408,   1163,   1474,   1996,   2456,   3109,   4062,   5509,   5861,   6552, 
/* msg =   1433, deg = 10 */    409,   1164,   1475,   1997,   2457,   3110,   4063,   5510,   5862,   6553, 
/* msg =   1434, deg = 10 */    410,   1165,   1476,   1998,   2458,   3111,   4064,   5511,   5863,   6554, 
/* msg =   1435, deg = 10 */    411,   1166,   1477,   1999,   2459,   3112,   4065,   5512,   5864,   6555, 
/* msg =   1436, deg = 10 */    412,   1167,   1478,   2000,   2460,   3113,   4066,   5513,   5865,   6556, 
/* msg =   1437, deg = 10 */    413,   1168,   1479,   2001,   2461,   3114,   4067,   5514,   5866,   6557, 
/* msg =   1438, deg = 10 */    414,   1169,   1480,   2002,   2462,   3115,   4068,   5515,   5867,   6558, 
/* msg =   1439, deg = 10 */    415,   1170,   1481,   2003,   2463,   3116,   4069,   5516,   5868,   6559, 
/* msg =   1440, deg = 10 */    416,   1171,   1482,   2004,   2464,   3117,   4070,   5517,   5869,   6560, 
/* msg =   1441, deg = 10 */    417,   1172,   1483,   2005,   2465,   3118,   4071,   5518,   5870,   6561, 
/* msg =   1442, deg = 10 */    418,   1173,   1484,   2006,   2466,   3119,   4072,   5519,   5871,   6562, 
/* msg =   1443, deg = 10 */    419,   1174,   1485,   2007,   2467,   3120,   4073,   5520,   5872,   6563, 
/* msg =   1444, deg = 10 */    420,   1175,   1486,   2008,   2468,   3121,   4074,   5521,   5873,   6564, 
/* msg =   1445, deg = 10 */    421,   1176,   1487,   2009,   2469,   3122,   4075,   5522,   5874,   6565, 
/* msg =   1446, deg = 10 */    422,   1177,   1488,   2010,   2470,   3123,   4076,   5523,   5875,   6566, 
/* msg =   1447, deg = 10 */    423,   1178,   1489,   2011,   2471,   3124,   4077,   5524,   5876,   6567, 
/* msg =   1448, deg = 10 */    424,   1179,   1490,   2012,   2472,   3125,   4078,   5525,   5877,   6568, 
/* msg =   1449, deg = 10 */    425,   1180,   1491,   2013,   2473,   3126,   4079,   5526,   5878,   6569, 
/* msg =   1450, deg = 10 */    426,   1181,   1492,   2014,   2474,   3127,   4080,   5527,   5879,   6570, 
/* msg =   1451, deg = 10 */    427,   1182,   1493,   2015,   2475,   3128,   4081,   5528,   5880,   6571, 
/* msg =   1452, deg = 10 */    428,   1183,   1494,   2016,   2476,   3129,   4082,   5529,   5881,   6572, 
/* msg =   1453, deg = 10 */    429,   1184,   1495,   2017,   2477,   3130,   4083,   5530,   5882,   6573, 
/* msg =   1454, deg = 10 */    430,   1185,   1496,   2018,   2478,   3131,   4084,   5531,   5883,   6574, 
/* msg =   1455, deg = 10 */    431,   1186,   1497,   2019,   2479,   3132,   4085,   5532,   5884,   6575, 
/* msg =   1456, deg = 10 */    432,   1187,   1498,   2020,   2480,   3133,   4086,   5533,   5885,   6576, 
/* msg =   1457, deg = 10 */    433,   1188,   1499,   2021,   2481,   3134,   4087,   5534,   5886,   6577, 
/* msg =   1458, deg = 10 */    434,   1189,   1500,   2022,   2482,   3135,   4088,   5535,   5887,   6578, 
/* msg =   1459, deg = 10 */    435,   1190,   1501,   2023,   2483,   3136,   4089,   5536,   5632,   6579, 
/* msg =   1460, deg = 10 */    436,   1191,   1502,   2024,   2484,   3137,   4090,   5537,   5633,   6580, 
/* msg =   1461, deg = 10 */    437,   1192,   1503,   2025,   2485,   3138,   4091,   5538,   5634,   6581, 
/* msg =   1462, deg = 10 */    438,   1193,   1504,   2026,   2486,   3139,   4092,   5539,   5635,   6582, 
/* msg =   1463, deg = 10 */    439,   1194,   1505,   2027,   2487,   3140,   4093,   5540,   5636,   6583, 
/* msg =   1464, deg = 10 */    440,   1195,   1506,   2028,   2488,   3141,   4094,   5541,   5637,   6584, 
/* msg =   1465, deg = 10 */    441,   1196,   1507,   2029,   2489,   3142,   4095,   5542,   5638,   6585, 
/* msg =   1466, deg = 10 */    442,   1197,   1508,   2030,   2490,   3143,   3840,   5543,   5639,   6586, 
/* msg =   1467, deg = 10 */    443,   1198,   1509,   2031,   2491,   3144,   3841,   5544,   5640,   6587, 
/* msg =   1468, deg = 10 */    444,   1199,   1510,   2032,   2492,   3145,   3842,   5545,   5641,   6588, 
/* msg =   1469, deg = 10 */    445,   1200,   1511,   2033,   2493,   3146,   3843,   5546,   5642,   6589, 
/* msg =   1470, deg = 10 */    446,   1201,   1512,   2034,   2494,   3147,   3844,   5547,   5643,   6590, 
/* msg =   1471, deg = 10 */    447,   1202,   1513,   2035,   2495,   3148,   3845,   5548,   5644,   6591, 
/* msg =   1472, deg = 10 */    448,   1203,   1514,   2036,   2496,   3149,   3846,   5549,   5645,   6592, 
/* msg =   1473, deg = 10 */    449,   1204,   1515,   2037,   2497,   3150,   3847,   5550,   5646,   6593, 
/* msg =   1474, deg = 10 */    450,   1205,   1516,   2038,   2498,   3151,   3848,   5551,   5647,   6594, 
/* msg =   1475, deg = 10 */    451,   1206,   1517,   2039,   2499,   3152,   3849,   5552,   5648,   6595, 
/* msg =   1476, deg = 10 */    452,   1207,   1518,   2040,   2500,   3153,   3850,   5553,   5649,   6596, 
/* msg =   1477, deg = 10 */    453,   1208,   1519,   2041,   2501,   3154,   3851,   5554,   5650,   6597, 
/* msg =   1478, deg = 10 */    454,   1209,   1520,   2042,   2502,   3155,   3852,   5555,   5651,   6598, 
/* msg =   1479, deg = 10 */    455,   1210,   1521,   2043,   2503,   3156,   3853,   5556,   5652,   6599, 
/* msg =   1480, deg = 10 */    456,   1211,   1522,   2044,   2504,   3157,   3854,   5557,   5653,   6600, 
/* msg =   1481, deg = 10 */    457,   1212,   1523,   2045,   2505,   3158,   3855,   5558,   5654,   6601, 
/* msg =   1482, deg = 10 */    458,   1213,   1524,   2046,   2506,   3159,   3856,   5559,   5655,   6602, 
/* msg =   1483, deg = 10 */    459,   1214,   1525,   2047,   2507,   3160,   3857,   5560,   5656,   6603, 
/* msg =   1484, deg = 10 */    460,   1215,   1526,   1792,   2508,   3161,   3858,   5561,   5657,   6604, 
/* msg =   1485, deg = 10 */    461,   1216,   1527,   1793,   2509,   3162,   3859,   5562,   5658,   6605, 
/* msg =   1486, deg = 10 */    462,   1217,   1528,   1794,   2510,   3163,   3860,   5563,   5659,   6606, 
/* msg =   1487, deg = 10 */    463,   1218,   1529,   1795,   2511,   3164,   3861,   5564,   5660,   6607, 
/* msg =   1488, deg = 10 */    464,   1219,   1530,   1796,   2512,   3165,   3862,   5565,   5661,   6608, 
/* msg =   1489, deg = 10 */    465,   1220,   1531,   1797,   2513,   3166,   3863,   5566,   5662,   6609, 
/* msg =   1490, deg = 10 */    466,   1221,   1532,   1798,   2514,   3167,   3864,   5567,   5663,   6610, 
/* msg =   1491, deg = 10 */    467,   1222,   1533,   1799,   2515,   3168,   3865,   5568,   5664,   6611, 
/* msg =   1492, deg = 10 */    468,   1223,   1534,   1800,   2516,   3169,   3866,   5569,   5665,   6612, 
/* msg =   1493, deg = 10 */    469,   1224,   1535,   1801,   2517,   3170,   3867,   5570,   5666,   6613, 
/* msg =   1494, deg = 10 */    470,   1225,   1280,   1802,   2518,   3171,   3868,   5571,   5667,   6614, 
/* msg =   1495, deg = 10 */    471,   1226,   1281,   1803,   2519,   3172,   3869,   5572,   5668,   6615, 
/* msg =   1496, deg = 10 */    472,   1227,   1282,   1804,   2520,   3173,   3870,   5573,   5669,   6616, 
/* msg =   1497, deg = 10 */    473,   1228,   1283,   1805,   2521,   3174,   3871,   5574,   5670,   6617, 
/* msg =   1498, deg = 10 */    474,   1229,   1284,   1806,   2522,   3175,   3872,   5575,   5671,   6618, 
/* msg =   1499, deg = 10 */    475,   1230,   1285,   1807,   2523,   3176,   3873,   5576,   5672,   6619, 
/* msg =   1500, deg = 10 */    476,   1231,   1286,   1808,   2524,   3177,   3874,   5577,   5673,   6620, 
/* msg =   1501, deg = 10 */    477,   1232,   1287,   1809,   2525,   3178,   3875,   5578,   5674,   6621, 
/* msg =   1502, deg = 10 */    478,   1233,   1288,   1810,   2526,   3179,   3876,   5579,   5675,   6622, 
/* msg =   1503, deg = 10 */    479,   1234,   1289,   1811,   2527,   3180,   3877,   5580,   5676,   6623, 
/* msg =   1504, deg = 10 */    480,   1235,   1290,   1812,   2528,   3181,   3878,   5581,   5677,   6624, 
/* msg =   1505, deg = 10 */    481,   1236,   1291,   1813,   2529,   3182,   3879,   5582,   5678,   6625, 
/* msg =   1506, deg = 10 */    482,   1237,   1292,   1814,   2530,   3183,   3880,   5583,   5679,   6626, 
/* msg =   1507, deg = 10 */    483,   1238,   1293,   1815,   2531,   3184,   3881,   5584,   5680,   6627, 
/* msg =   1508, deg = 10 */    484,   1239,   1294,   1816,   2532,   3185,   3882,   5585,   5681,   6628, 
/* msg =   1509, deg = 10 */    485,   1240,   1295,   1817,   2533,   3186,   3883,   5586,   5682,   6629, 
/* msg =   1510, deg = 10 */    486,   1241,   1296,   1818,   2534,   3187,   3884,   5587,   5683,   6630, 
/* msg =   1511, deg = 10 */    487,   1242,   1297,   1819,   2535,   3188,   3885,   5588,   5684,   6631, 
/* msg =   1512, deg = 10 */    488,   1243,   1298,   1820,   2536,   3189,   3886,   5589,   5685,   6632, 
/* msg =   1513, deg = 10 */    489,   1244,   1299,   1821,   2537,   3190,   3887,   5590,   5686,   6633, 
/* msg =   1514, deg = 10 */    490,   1245,   1300,   1822,   2538,   3191,   3888,   5591,   5687,   6634, 
/* msg =   1515, deg = 10 */    491,   1246,   1301,   1823,   2539,   3192,   3889,   5592,   5688,   6635, 
/* msg =   1516, deg = 10 */    492,   1247,   1302,   1824,   2540,   3193,   3890,   5593,   5689,   6636, 
/* msg =   1517, deg = 10 */    493,   1248,   1303,   1825,   2541,   3194,   3891,   5594,   5690,   6637, 
/* msg =   1518, deg = 10 */    494,   1249,   1304,   1826,   2542,   3195,   3892,   5595,   5691,   6638, 
/* msg =   1519, deg = 10 */    495,   1250,   1305,   1827,   2543,   3196,   3893,   5596,   5692,   6639, 
/* msg =   1520, deg = 10 */    496,   1251,   1306,   1828,   2544,   3197,   3894,   5597,   5693,   6640, 
/* msg =   1521, deg = 10 */    497,   1252,   1307,   1829,   2545,   3198,   3895,   5598,   5694,   6641, 
/* msg =   1522, deg = 10 */    498,   1253,   1308,   1830,   2546,   3199,   3896,   5599,   5695,   6642, 
/* msg =   1523, deg = 10 */    499,   1254,   1309,   1831,   2547,   3200,   3897,   5600,   5696,   6643, 
/* msg =   1524, deg = 10 */    500,   1255,   1310,   1832,   2548,   3201,   3898,   5601,   5697,   6644, 
/* msg =   1525, deg = 10 */    501,   1256,   1311,   1833,   2549,   3202,   3899,   5602,   5698,   6645, 
/* msg =   1526, deg = 10 */    502,   1257,   1312,   1834,   2550,   3203,   3900,   5603,   5699,   6646, 
/* msg =   1527, deg = 10 */    503,   1258,   1313,   1835,   2551,   3204,   3901,   5604,   5700,   6647, 
/* msg =   1528, deg = 10 */    504,   1259,   1314,   1836,   2552,   3205,   3902,   5605,   5701,   6648, 
/* msg =   1529, deg = 10 */    505,   1260,   1315,   1837,   2553,   3206,   3903,   5606,   5702,   6649, 
/* msg =   1530, deg = 10 */    506,   1261,   1316,   1838,   2554,   3207,   3904,   5607,   5703,   6650, 
/* msg =   1531, deg = 10 */    507,   1262,   1317,   1839,   2555,   3208,   3905,   5608,   5704,   6651, 
/* msg =   1532, deg = 10 */    508,   1263,   1318,   1840,   2556,   3209,   3906,   5609,   5705,   6652, 
/* msg =   1533, deg = 10 */    509,   1264,   1319,   1841,   2557,   3210,   3907,   5610,   5706,   6653, 
/* msg =   1534, deg = 10 */    510,   1265,   1320,   1842,   2558,   3211,   3908,   5611,   5707,   6654, 
/* msg =   1535, deg = 10 */    511,   1266,   1321,   1843,   2559,   3212,   3909,   5612,   5708,   6655, 
/* msg =   1536, deg = 10 */    512,   1044,   1477,   1629,   2560,   3156,   3534,   5754,   5955,   6656, 
/* msg =   1537, deg = 10 */    513,   1045,   1478,   1630,   2561,   3157,   3535,   5755,   5956,   6657, 
/* msg =   1538, deg = 10 */    514,   1046,   1479,   1631,   2562,   3158,   3536,   5756,   5957,   6658, 
/* msg =   1539, deg = 10 */    515,   1047,   1480,   1632,   2563,   3159,   3537,   5757,   5958,   6659, 
/* msg =   1540, deg = 10 */    516,   1048,   1481,   1633,   2564,   3160,   3538,   5758,   5959,   6660, 
/* msg =   1541, deg = 10 */    517,   1049,   1482,   1634,   2565,   3161,   3539,   5759,   5960,   6661, 
/* msg =   1542, deg = 10 */    518,   1050,   1483,   1635,   2566,   3162,   3540,   5760,   5961,   6662, 
/* msg =   1543, deg = 10 */    519,   1051,   1484,   1636,   2567,   3163,   3541,   5761,   5962,   6663, 
/* msg =   1544, deg = 10 */    520,   1052,   1485,   1637,   2568,   3164,   3542,   5762,   5963,   6664, 
/* msg =   1545, deg = 10 */    521,   1053,   1486,   1638,   2569,   3165,   3543,   5763,   5964,   6665, 
/* msg =   1546, deg = 10 */    522,   1054,   1487,   1639,   2570,   3166,   3544,   5764,   5965,   6666, 
/* msg =   1547, deg = 10 */    523,   1055,   1488,   1640,   2571,   3167,   3545,   5765,   5966,   6667, 
/* msg =   1548, deg = 10 */    524,   1056,   1489,   1641,   2572,   3168,   3546,   5766,   5967,   6668, 
/* msg =   1549, deg = 10 */    525,   1057,   1490,   1642,   2573,   3169,   3547,   5767,   5968,   6669, 
/* msg =   1550, deg = 10 */    526,   1058,   1491,   1643,   2574,   3170,   3548,   5768,   5969,   6670, 
/* msg =   1551, deg = 10 */    527,   1059,   1492,   1644,   2575,   3171,   3549,   5769,   5970,   6671, 
/* msg =   1552, deg = 10 */    528,   1060,   1493,   1645,   2576,   3172,   3550,   5770,   5971,   6672, 
/* msg =   1553, deg = 10 */    529,   1061,   1494,   1646,   2577,   3173,   3551,   5771,   5972,   6673, 
/* msg =   1554, deg = 10 */    530,   1062,   1495,   1647,   2578,   3174,   3552,   5772,   5973,   6674, 
/* msg =   1555, deg = 10 */    531,   1063,   1496,   1648,   2579,   3175,   3553,   5773,   5974,   6675, 
/* msg =   1556, deg = 10 */    532,   1064,   1497,   1649,   2580,   3176,   3554,   5774,   5975,   6676, 
/* msg =   1557, deg = 10 */    533,   1065,   1498,   1650,   2581,   3177,   3555,   5775,   5976,   6677, 
/* msg =   1558, deg = 10 */    534,   1066,   1499,   1651,   2582,   3178,   3556,   5776,   5977,   6678, 
/* msg =   1559, deg = 10 */    535,   1067,   1500,   1652,   2583,   3179,   3557,   5777,   5978,   6679, 
/* msg =   1560, deg = 10 */    536,   1068,   1501,   1653,   2584,   3180,   3558,   5778,   5979,   6680, 
/* msg =   1561, deg = 10 */    537,   1069,   1502,   1654,   2585,   3181,   3559,   5779,   5980,   6681, 
/* msg =   1562, deg = 10 */    538,   1070,   1503,   1655,   2586,   3182,   3560,   5780,   5981,   6682, 
/* msg =   1563, deg = 10 */    539,   1071,   1504,   1656,   2587,   3183,   3561,   5781,   5982,   6683, 
/* msg =   1564, deg = 10 */    540,   1072,   1505,   1657,   2588,   3184,   3562,   5782,   5983,   6684, 
/* msg =   1565, deg = 10 */    541,   1073,   1506,   1658,   2589,   3185,   3563,   5783,   5984,   6685, 
/* msg =   1566, deg = 10 */    542,   1074,   1507,   1659,   2590,   3186,   3564,   5784,   5985,   6686, 
/* msg =   1567, deg = 10 */    543,   1075,   1508,   1660,   2591,   3187,   3565,   5785,   5986,   6687, 
/* msg =   1568, deg = 10 */    544,   1076,   1509,   1661,   2592,   3188,   3566,   5786,   5987,   6688, 
/* msg =   1569, deg = 10 */    545,   1077,   1510,   1662,   2593,   3189,   3567,   5787,   5988,   6689, 
/* msg =   1570, deg = 10 */    546,   1078,   1511,   1663,   2594,   3190,   3568,   5788,   5989,   6690, 
/* msg =   1571, deg = 10 */    547,   1079,   1512,   1664,   2595,   3191,   3569,   5789,   5990,   6691, 
/* msg =   1572, deg = 10 */    548,   1080,   1513,   1665,   2596,   3192,   3570,   5790,   5991,   6692, 
/* msg =   1573, deg = 10 */    549,   1081,   1514,   1666,   2597,   3193,   3571,   5791,   5992,   6693, 
/* msg =   1574, deg = 10 */    550,   1082,   1515,   1667,   2598,   3194,   3572,   5792,   5993,   6694, 
/* msg =   1575, deg = 10 */    551,   1083,   1516,   1668,   2599,   3195,   3573,   5793,   5994,   6695, 
/* msg =   1576, deg = 10 */    552,   1084,   1517,   1669,   2600,   3196,   3574,   5794,   5995,   6696, 
/* msg =   1577, deg = 10 */    553,   1085,   1518,   1670,   2601,   3197,   3575,   5795,   5996,   6697, 
/* msg =   1578, deg = 10 */    554,   1086,   1519,   1671,   2602,   3198,   3576,   5796,   5997,   6698, 
/* msg =   1579, deg = 10 */    555,   1087,   1520,   1672,   2603,   3199,   3577,   5797,   5998,   6699, 
/* msg =   1580, deg = 10 */    556,   1088,   1521,   1673,   2604,   3200,   3578,   5798,   5999,   6700, 
/* msg =   1581, deg = 10 */    557,   1089,   1522,   1674,   2605,   3201,   3579,   5799,   6000,   6701, 
/* msg =   1582, deg = 10 */    558,   1090,   1523,   1675,   2606,   3202,   3580,   5800,   6001,   6702, 
/* msg =   1583, deg = 10 */    559,   1091,   1524,   1676,   2607,   3203,   3581,   5801,   6002,   6703, 
/* msg =   1584, deg = 10 */    560,   1092,   1525,   1677,   2608,   3204,   3582,   5802,   6003,   6704, 
/* msg =   1585, deg = 10 */    561,   1093,   1526,   1678,   2609,   3205,   3583,   5803,   6004,   6705, 
/* msg =   1586, deg = 10 */    562,   1094,   1527,   1679,   2610,   3206,   3328,   5804,   6005,   6706, 
/* msg =   1587, deg = 10 */    563,   1095,   1528,   1680,   2611,   3207,   3329,   5805,   6006,   6707, 
/* msg =   1588, deg = 10 */    564,   1096,   1529,   1681,   2612,   3208,   3330,   5806,   6007,   6708, 
/* msg =   1589, deg = 10 */    565,   1097,   1530,   1682,   2613,   3209,   3331,   5807,   6008,   6709, 
/* msg =   1590, deg = 10 */    566,   1098,   1531,   1683,   2614,   3210,   3332,   5808,   6009,   6710, 
/* msg =   1591, deg = 10 */    567,   1099,   1532,   1684,   2615,   3211,   3333,   5809,   6010,   6711, 
/* msg =   1592, deg = 10 */    568,   1100,   1533,   1685,   2616,   3212,   3334,   5810,   6011,   6712, 
/* msg =   1593, deg = 10 */    569,   1101,   1534,   1686,   2617,   3213,   3335,   5811,   6012,   6713, 
/* msg =   1594, deg = 10 */    570,   1102,   1535,   1687,   2618,   3214,   3336,   5812,   6013,   6714, 
/* msg =   1595, deg = 10 */    571,   1103,   1280,   1688,   2619,   3215,   3337,   5813,   6014,   6715, 
/* msg =   1596, deg = 10 */    572,   1104,   1281,   1689,   2620,   3216,   3338,   5814,   6015,   6716, 
/* msg =   1597, deg = 10 */    573,   1105,   1282,   1690,   2621,   3217,   3339,   5815,   6016,   6717, 
/* msg =   1598, deg = 10 */    574,   1106,   1283,   1691,   2622,   3218,   3340,   5816,   6017,   6718, 
/* msg =   1599, deg = 10 */    575,   1107,   1284,   1692,   2623,   3219,   3341,   5817,   6018,   6719, 
/* msg =   1600, deg = 10 */    576,   1108,   1285,   1693,   2624,   3220,   3342,   5818,   6019,   6720, 
/* msg =   1601, deg = 10 */    577,   1109,   1286,   1694,   2625,   3221,   3343,   5819,   6020,   6721, 
/* msg =   1602, deg = 10 */    578,   1110,   1287,   1695,   2626,   3222,   3344,   5820,   6021,   6722, 
/* msg =   1603, deg = 10 */    579,   1111,   1288,   1696,   2627,   3223,   3345,   5821,   6022,   6723, 
/* msg =   1604, deg = 10 */    580,   1112,   1289,   1697,   2628,   3224,   3346,   5822,   6023,   6724, 
/* msg =   1605, deg = 10 */    581,   1113,   1290,   1698,   2629,   3225,   3347,   5823,   6024,   6725, 
/* msg =   1606, deg = 10 */    582,   1114,   1291,   1699,   2630,   3226,   3348,   5824,   6025,   6726, 
/* msg =   1607, deg = 10 */    583,   1115,   1292,   1700,   2631,   3227,   3349,   5825,   6026,   6727, 
/* msg =   1608, deg = 10 */    584,   1116,   1293,   1701,   2632,   3228,   3350,   5826,   6027,   6728, 
/* msg =   1609, deg = 10 */    585,   1117,   1294,   1702,   2633,   3229,   3351,   5827,   6028,   6729, 
/* msg =   1610, deg = 10 */    586,   1118,   1295,   1703,   2634,   3230,   3352,   5828,   6029,   6730, 
/* msg =   1611, deg = 10 */    587,   1119,   1296,   1704,   2635,   3231,   3353,   5829,   6030,   6731, 
/* msg =   1612, deg = 10 */    588,   1120,   1297,   1705,   2636,   3232,   3354,   5830,   6031,   6732, 
/* msg =   1613, deg = 10 */    589,   1121,   1298,   1706,   2637,   3233,   3355,   5831,   6032,   6733, 
/* msg =   1614, deg = 10 */    590,   1122,   1299,   1707,   2638,   3234,   3356,   5832,   6033,   6734, 
/* msg =   1615, deg = 10 */    591,   1123,   1300,   1708,   2639,   3235,   3357,   5833,   6034,   6735, 
/* msg =   1616, deg = 10 */    592,   1124,   1301,   1709,   2640,   3236,   3358,   5834,   6035,   6736, 
/* msg =   1617, deg = 10 */    593,   1125,   1302,   1710,   2641,   3237,   3359,   5835,   6036,   6737, 
/* msg =   1618, deg = 10 */    594,   1126,   1303,   1711,   2642,   3238,   3360,   5836,   6037,   6738, 
/* msg =   1619, deg = 10 */    595,   1127,   1304,   1712,   2643,   3239,   3361,   5837,   6038,   6739, 
/* msg =   1620, deg = 10 */    596,   1128,   1305,   1713,   2644,   3240,   3362,   5838,   6039,   6740, 
/* msg =   1621, deg = 10 */    597,   1129,   1306,   1714,   2645,   3241,   3363,   5839,   6040,   6741, 
/* msg =   1622, deg = 10 */    598,   1130,   1307,   1715,   2646,   3242,   3364,   5840,   6041,   6742, 
/* msg =   1623, deg = 10 */    599,   1131,   1308,   1716,   2647,   3243,   3365,   5841,   6042,   6743, 
/* msg =   1624, deg = 10 */    600,   1132,   1309,   1717,   2648,   3244,   3366,   5842,   6043,   6744, 
/* msg =   1625, deg = 10 */    601,   1133,   1310,   1718,   2649,   3245,   3367,   5843,   6044,   6745, 
/* msg =   1626, deg = 10 */    602,   1134,   1311,   1719,   2650,   3246,   3368,   5844,   6045,   6746, 
/* msg =   1627, deg = 10 */    603,   1135,   1312,   1720,   2651,   3247,   3369,   5845,   6046,   6747, 
/* msg =   1628, deg = 10 */    604,   1136,   1313,   1721,   2652,   3248,   3370,   5846,   6047,   6748, 
/* msg =   1629, deg = 10 */    605,   1137,   1314,   1722,   2653,   3249,   3371,   5847,   6048,   6749, 
/* msg =   1630, deg = 10 */    606,   1138,   1315,   1723,   2654,   3250,   3372,   5848,   6049,   6750, 
/* msg =   1631, deg = 10 */    607,   1139,   1316,   1724,   2655,   3251,   3373,   5849,   6050,   6751, 
/* msg =   1632, deg = 10 */    608,   1140,   1317,   1725,   2656,   3252,   3374,   5850,   6051,   6752, 
/* msg =   1633, deg = 10 */    609,   1141,   1318,   1726,   2657,   3253,   3375,   5851,   6052,   6753, 
/* msg =   1634, deg = 10 */    610,   1142,   1319,   1727,   2658,   3254,   3376,   5852,   6053,   6754, 
/* msg =   1635, deg = 10 */    611,   1143,   1320,   1728,   2659,   3255,   3377,   5853,   6054,   6755, 
/* msg =   1636, deg = 10 */    612,   1144,   1321,   1729,   2660,   3256,   3378,   5854,   6055,   6756, 
/* msg =   1637, deg = 10 */    613,   1145,   1322,   1730,   2661,   3257,   3379,   5855,   6056,   6757, 
/* msg =   1638, deg = 10 */    614,   1146,   1323,   1731,   2662,   3258,   3380,   5856,   6057,   6758, 
/* msg =   1639, deg = 10 */    615,   1147,   1324,   1732,   2663,   3259,   3381,   5857,   6058,   6759, 
/* msg =   1640, deg = 10 */    616,   1148,   1325,   1733,   2664,   3260,   3382,   5858,   6059,   6760, 
/* msg =   1641, deg = 10 */    617,   1149,   1326,   1734,   2665,   3261,   3383,   5859,   6060,   6761, 
/* msg =   1642, deg = 10 */    618,   1150,   1327,   1735,   2666,   3262,   3384,   5860,   6061,   6762, 
/* msg =   1643, deg = 10 */    619,   1151,   1328,   1736,   2667,   3263,   3385,   5861,   6062,   6763, 
/* msg =   1644, deg = 10 */    620,   1152,   1329,   1737,   2668,   3264,   3386,   5862,   6063,   6764, 
/* msg =   1645, deg = 10 */    621,   1153,   1330,   1738,   2669,   3265,   3387,   5863,   6064,   6765, 
/* msg =   1646, deg = 10 */    622,   1154,   1331,   1739,   2670,   3266,   3388,   5864,   6065,   6766, 
/* msg =   1647, deg = 10 */    623,   1155,   1332,   1740,   2671,   3267,   3389,   5865,   6066,   6767, 
/* msg =   1648, deg = 10 */    624,   1156,   1333,   1741,   2672,   3268,   3390,   5866,   6067,   6768, 
/* msg =   1649, deg = 10 */    625,   1157,   1334,   1742,   2673,   3269,   3391,   5867,   6068,   6769, 
/* msg =   1650, deg = 10 */    626,   1158,   1335,   1743,   2674,   3270,   3392,   5868,   6069,   6770, 
/* msg =   1651, deg = 10 */    627,   1159,   1336,   1744,   2675,   3271,   3393,   5869,   6070,   6771, 
/* msg =   1652, deg = 10 */    628,   1160,   1337,   1745,   2676,   3272,   3394,   5870,   6071,   6772, 
/* msg =   1653, deg = 10 */    629,   1161,   1338,   1746,   2677,   3273,   3395,   5871,   6072,   6773, 
/* msg =   1654, deg = 10 */    630,   1162,   1339,   1747,   2678,   3274,   3396,   5872,   6073,   6774, 
/* msg =   1655, deg = 10 */    631,   1163,   1340,   1748,   2679,   3275,   3397,   5873,   6074,   6775, 
/* msg =   1656, deg = 10 */    632,   1164,   1341,   1749,   2680,   3276,   3398,   5874,   6075,   6776, 
/* msg =   1657, deg = 10 */    633,   1165,   1342,   1750,   2681,   3277,   3399,   5875,   6076,   6777, 
/* msg =   1658, deg = 10 */    634,   1166,   1343,   1751,   2682,   3278,   3400,   5876,   6077,   6778, 
/* msg =   1659, deg = 10 */    635,   1167,   1344,   1752,   2683,   3279,   3401,   5877,   6078,   6779, 
/* msg =   1660, deg = 10 */    636,   1168,   1345,   1753,   2684,   3280,   3402,   5878,   6079,   6780, 
/* msg =   1661, deg = 10 */    637,   1169,   1346,   1754,   2685,   3281,   3403,   5879,   6080,   6781, 
/* msg =   1662, deg = 10 */    638,   1170,   1347,   1755,   2686,   3282,   3404,   5880,   6081,   6782, 
/* msg =   1663, deg = 10 */    639,   1171,   1348,   1756,   2687,   3283,   3405,   5881,   6082,   6783, 
/* msg =   1664, deg = 10 */    640,   1172,   1349,   1757,   2688,   3284,   3406,   5882,   6083,   6784, 
/* msg =   1665, deg = 10 */    641,   1173,   1350,   1758,   2689,   3285,   3407,   5883,   6084,   6785, 
/* msg =   1666, deg = 10 */    642,   1174,   1351,   1759,   2690,   3286,   3408,   5884,   6085,   6786, 
/* msg =   1667, deg = 10 */    643,   1175,   1352,   1760,   2691,   3287,   3409,   5885,   6086,   6787, 
/* msg =   1668, deg = 10 */    644,   1176,   1353,   1761,   2692,   3288,   3410,   5886,   6087,   6788, 
/* msg =   1669, deg = 10 */    645,   1177,   1354,   1762,   2693,   3289,   3411,   5887,   6088,   6789, 
/* msg =   1670, deg = 10 */    646,   1178,   1355,   1763,   2694,   3290,   3412,   5632,   6089,   6790, 
/* msg =   1671, deg = 10 */    647,   1179,   1356,   1764,   2695,   3291,   3413,   5633,   6090,   6791, 
/* msg =   1672, deg = 10 */    648,   1180,   1357,   1765,   2696,   3292,   3414,   5634,   6091,   6792, 
/* msg =   1673, deg = 10 */    649,   1181,   1358,   1766,   2697,   3293,   3415,   5635,   6092,   6793, 
/* msg =   1674, deg = 10 */    650,   1182,   1359,   1767,   2698,   3294,   3416,   5636,   6093,   6794, 
/* msg =   1675, deg = 10 */    651,   1183,   1360,   1768,   2699,   3295,   3417,   5637,   6094,   6795, 
/* msg =   1676, deg = 10 */    652,   1184,   1361,   1769,   2700,   3296,   3418,   5638,   6095,   6796, 
/* msg =   1677, deg = 10 */    653,   1185,   1362,   1770,   2701,   3297,   3419,   5639,   6096,   6797, 
/* msg =   1678, deg = 10 */    654,   1186,   1363,   1771,   2702,   3298,   3420,   5640,   6097,   6798, 
/* msg =   1679, deg = 10 */    655,   1187,   1364,   1772,   2703,   3299,   3421,   5641,   6098,   6799, 
/* msg =   1680, deg = 10 */    656,   1188,   1365,   1773,   2704,   3300,   3422,   5642,   6099,   6800, 
/* msg =   1681, deg = 10 */    657,   1189,   1366,   1774,   2705,   3301,   3423,   5643,   6100,   6801, 
/* msg =   1682, deg = 10 */    658,   1190,   1367,   1775,   2706,   3302,   3424,   5644,   6101,   6802, 
/* msg =   1683, deg = 10 */    659,   1191,   1368,   1776,   2707,   3303,   3425,   5645,   6102,   6803, 
/* msg =   1684, deg = 10 */    660,   1192,   1369,   1777,   2708,   3304,   3426,   5646,   6103,   6804, 
/* msg =   1685, deg = 10 */    661,   1193,   1370,   1778,   2709,   3305,   3427,   5647,   6104,   6805, 
/* msg =   1686, deg = 10 */    662,   1194,   1371,   1779,   2710,   3306,   3428,   5648,   6105,   6806, 
/* msg =   1687, deg = 10 */    663,   1195,   1372,   1780,   2711,   3307,   3429,   5649,   6106,   6807, 
/* msg =   1688, deg = 10 */    664,   1196,   1373,   1781,   2712,   3308,   3430,   5650,   6107,   6808, 
/* msg =   1689, deg = 10 */    665,   1197,   1374,   1782,   2713,   3309,   3431,   5651,   6108,   6809, 
/* msg =   1690, deg = 10 */    666,   1198,   1375,   1783,   2714,   3310,   3432,   5652,   6109,   6810, 
/* msg =   1691, deg = 10 */    667,   1199,   1376,   1784,   2715,   3311,   3433,   5653,   6110,   6811, 
/* msg =   1692, deg = 10 */    668,   1200,   1377,   1785,   2716,   3312,   3434,   5654,   6111,   6812, 
/* msg =   1693, deg = 10 */    669,   1201,   1378,   1786,   2717,   3313,   3435,   5655,   6112,   6813, 
/* msg =   1694, deg = 10 */    670,   1202,   1379,   1787,   2718,   3314,   3436,   5656,   6113,   6814, 
/* msg =   1695, deg = 10 */    671,   1203,   1380,   1788,   2719,   3315,   3437,   5657,   6114,   6815, 
/* msg =   1696, deg = 10 */    672,   1204,   1381,   1789,   2720,   3316,   3438,   5658,   6115,   6816, 
/* msg =   1697, deg = 10 */    673,   1205,   1382,   1790,   2721,   3317,   3439,   5659,   6116,   6817, 
/* msg =   1698, deg = 10 */    674,   1206,   1383,   1791,   2722,   3318,   3440,   5660,   6117,   6818, 
/* msg =   1699, deg = 10 */    675,   1207,   1384,   1536,   2723,   3319,   3441,   5661,   6118,   6819, 
/* msg =   1700, deg = 10 */    676,   1208,   1385,   1537,   2724,   3320,   3442,   5662,   6119,   6820, 
/* msg =   1701, deg = 10 */    677,   1209,   1386,   1538,   2725,   3321,   3443,   5663,   6120,   6821, 
/* msg =   1702, deg = 10 */    678,   1210,   1387,   1539,   2726,   3322,   3444,   5664,   6121,   6822, 
/* msg =   1703, deg = 10 */    679,   1211,   1388,   1540,   2727,   3323,   3445,   5665,   6122,   6823, 
/* msg =   1704, deg = 10 */    680,   1212,   1389,   1541,   2728,   3324,   3446,   5666,   6123,   6824, 
/* msg =   1705, deg = 10 */    681,   1213,   1390,   1542,   2729,   3325,   3447,   5667,   6124,   6825, 
/* msg =   1706, deg = 10 */    682,   1214,   1391,   1543,   2730,   3326,   3448,   5668,   6125,   6826, 
/* msg =   1707, deg = 10 */    683,   1215,   1392,   1544,   2731,   3327,   3449,   5669,   6126,   6827, 
/* msg =   1708, deg = 10 */    684,   1216,   1393,   1545,   2732,   3072,   3450,   5670,   6127,   6828, 
/* msg =   1709, deg = 10 */    685,   1217,   1394,   1546,   2733,   3073,   3451,   5671,   6128,   6829, 
/* msg =   1710, deg = 10 */    686,   1218,   1395,   1547,   2734,   3074,   3452,   5672,   6129,   6830, 
/* msg =   1711, deg = 10 */    687,   1219,   1396,   1548,   2735,   3075,   3453,   5673,   6130,   6831, 
/* msg =   1712, deg = 10 */    688,   1220,   1397,   1549,   2736,   3076,   3454,   5674,   6131,   6832, 
/* msg =   1713, deg = 10 */    689,   1221,   1398,   1550,   2737,   3077,   3455,   5675,   6132,   6833, 
/* msg =   1714, deg = 10 */    690,   1222,   1399,   1551,   2738,   3078,   3456,   5676,   6133,   6834, 
/* msg =   1715, deg = 10 */    691,   1223,   1400,   1552,   2739,   3079,   3457,   5677,   6134,   6835, 
/* msg =   1716, deg = 10 */    692,   1224,   1401,   1553,   2740,   3080,   3458,   5678,   6135,   6836, 
/* msg =   1717, deg = 10 */    693,   1225,   1402,   1554,   2741,   3081,   3459,   5679,   6136,   6837, 
/* msg =   1718, deg = 10 */    694,   1226,   1403,   1555,   2742,   3082,   3460,   5680,   6137,   6838, 
/* msg =   1719, deg = 10 */    695,   1227,   1404,   1556,   2743,   3083,   3461,   5681,   6138,   6839, 
/* msg =   1720, deg = 10 */    696,   1228,   1405,   1557,   2744,   3084,   3462,   5682,   6139,   6840, 
/* msg =   1721, deg = 10 */    697,   1229,   1406,   1558,   2745,   3085,   3463,   5683,   6140,   6841, 
/* msg =   1722, deg = 10 */    698,   1230,   1407,   1559,   2746,   3086,   3464,   5684,   6141,   6842, 
/* msg =   1723, deg = 10 */    699,   1231,   1408,   1560,   2747,   3087,   3465,   5685,   6142,   6843, 
/* msg =   1724, deg = 10 */    700,   1232,   1409,   1561,   2748,   3088,   3466,   5686,   6143,   6844, 
/* msg =   1725, deg = 10 */    701,   1233,   1410,   1562,   2749,   3089,   3467,   5687,   5888,   6845, 
/* msg =   1726, deg = 10 */    702,   1234,   1411,   1563,   2750,   3090,   3468,   5688,   5889,   6846, 
/* msg =   1727, deg = 10 */    703,   1235,   1412,   1564,   2751,   3091,   3469,   5689,   5890,   6847, 
/* msg =   1728, deg = 10 */    704,   1236,   1413,   1565,   2752,   3092,   3470,   5690,   5891,   6848, 
/* msg =   1729, deg = 10 */    705,   1237,   1414,   1566,   2753,   3093,   3471,   5691,   5892,   6849, 
/* msg =   1730, deg = 10 */    706,   1238,   1415,   1567,   2754,   3094,   3472,   5692,   5893,   6850, 
/* msg =   1731, deg = 10 */    707,   1239,   1416,   1568,   2755,   3095,   3473,   5693,   5894,   6851, 
/* msg =   1732, deg = 10 */    708,   1240,   1417,   1569,   2756,   3096,   3474,   5694,   5895,   6852, 
/* msg =   1733, deg = 10 */    709,   1241,   1418,   1570,   2757,   3097,   3475,   5695,   5896,   6853, 
/* msg =   1734, deg = 10 */    710,   1242,   1419,   1571,   2758,   3098,   3476,   5696,   5897,   6854, 
/* msg =   1735, deg = 10 */    711,   1243,   1420,   1572,   2759,   3099,   3477,   5697,   5898,   6855, 
/* msg =   1736, deg = 10 */    712,   1244,   1421,   1573,   2760,   3100,   3478,   5698,   5899,   6856, 
/* msg =   1737, deg = 10 */    713,   1245,   1422,   1574,   2761,   3101,   3479,   5699,   5900,   6857, 
/* msg =   1738, deg = 10 */    714,   1246,   1423,   1575,   2762,   3102,   3480,   5700,   5901,   6858, 
/* msg =   1739, deg = 10 */    715,   1247,   1424,   1576,   2763,   3103,   3481,   5701,   5902,   6859, 
/* msg =   1740, deg = 10 */    716,   1248,   1425,   1577,   2764,   3104,   3482,   5702,   5903,   6860, 
/* msg =   1741, deg = 10 */    717,   1249,   1426,   1578,   2765,   3105,   3483,   5703,   5904,   6861, 
/* msg =   1742, deg = 10 */    718,   1250,   1427,   1579,   2766,   3106,   3484,   5704,   5905,   6862, 
/* msg =   1743, deg = 10 */    719,   1251,   1428,   1580,   2767,   3107,   3485,   5705,   5906,   6863, 
/* msg =   1744, deg = 10 */    720,   1252,   1429,   1581,   2768,   3108,   3486,   5706,   5907,   6864, 
/* msg =   1745, deg = 10 */    721,   1253,   1430,   1582,   2769,   3109,   3487,   5707,   5908,   6865, 
/* msg =   1746, deg = 10 */    722,   1254,   1431,   1583,   2770,   3110,   3488,   5708,   5909,   6866, 
/* msg =   1747, deg = 10 */    723,   1255,   1432,   1584,   2771,   3111,   3489,   5709,   5910,   6867, 
/* msg =   1748, deg = 10 */    724,   1256,   1433,   1585,   2772,   3112,   3490,   5710,   5911,   6868, 
/* msg =   1749, deg = 10 */    725,   1257,   1434,   1586,   2773,   3113,   3491,   5711,   5912,   6869, 
/* msg =   1750, deg = 10 */    726,   1258,   1435,   1587,   2774,   3114,   3492,   5712,   5913,   6870, 
/* msg =   1751, deg = 10 */    727,   1259,   1436,   1588,   2775,   3115,   3493,   5713,   5914,   6871, 
/* msg =   1752, deg = 10 */    728,   1260,   1437,   1589,   2776,   3116,   3494,   5714,   5915,   6872, 
/* msg =   1753, deg = 10 */    729,   1261,   1438,   1590,   2777,   3117,   3495,   5715,   5916,   6873, 
/* msg =   1754, deg = 10 */    730,   1262,   1439,   1591,   2778,   3118,   3496,   5716,   5917,   6874, 
/* msg =   1755, deg = 10 */    731,   1263,   1440,   1592,   2779,   3119,   3497,   5717,   5918,   6875, 
/* msg =   1756, deg = 10 */    732,   1264,   1441,   1593,   2780,   3120,   3498,   5718,   5919,   6876, 
/* msg =   1757, deg = 10 */    733,   1265,   1442,   1594,   2781,   3121,   3499,   5719,   5920,   6877, 
/* msg =   1758, deg = 10 */    734,   1266,   1443,   1595,   2782,   3122,   3500,   5720,   5921,   6878, 
/* msg =   1759, deg = 10 */    735,   1267,   1444,   1596,   2783,   3123,   3501,   5721,   5922,   6879, 
/* msg =   1760, deg = 10 */    736,   1268,   1445,   1597,   2784,   3124,   3502,   5722,   5923,   6880, 
/* msg =   1761, deg = 10 */    737,   1269,   1446,   1598,   2785,   3125,   3503,   5723,   5924,   6881, 
/* msg =   1762, deg = 10 */    738,   1270,   1447,   1599,   2786,   3126,   3504,   5724,   5925,   6882, 
/* msg =   1763, deg = 10 */    739,   1271,   1448,   1600,   2787,   3127,   3505,   5725,   5926,   6883, 
/* msg =   1764, deg = 10 */    740,   1272,   1449,   1601,   2788,   3128,   3506,   5726,   5927,   6884, 
/* msg =   1765, deg = 10 */    741,   1273,   1450,   1602,   2789,   3129,   3507,   5727,   5928,   6885, 
/* msg =   1766, deg = 10 */    742,   1274,   1451,   1603,   2790,   3130,   3508,   5728,   5929,   6886, 
/* msg =   1767, deg = 10 */    743,   1275,   1452,   1604,   2791,   3131,   3509,   5729,   5930,   6887, 
/* msg =   1768, deg = 10 */    744,   1276,   1453,   1605,   2792,   3132,   3510,   5730,   5931,   6888, 
/* msg =   1769, deg = 10 */    745,   1277,   1454,   1606,   2793,   3133,   3511,   5731,   5932,   6889, 
/* msg =   1770, deg = 10 */    746,   1278,   1455,   1607,   2794,   3134,   3512,   5732,   5933,   6890, 
/* msg =   1771, deg = 10 */    747,   1279,   1456,   1608,   2795,   3135,   3513,   5733,   5934,   6891, 
/* msg =   1772, deg = 10 */    748,   1024,   1457,   1609,   2796,   3136,   3514,   5734,   5935,   6892, 
/* msg =   1773, deg = 10 */    749,   1025,   1458,   1610,   2797,   3137,   3515,   5735,   5936,   6893, 
/* msg =   1774, deg = 10 */    750,   1026,   1459,   1611,   2798,   3138,   3516,   5736,   5937,   6894, 
/* msg =   1775, deg = 10 */    751,   1027,   1460,   1612,   2799,   3139,   3517,   5737,   5938,   6895, 
/* msg =   1776, deg = 10 */    752,   1028,   1461,   1613,   2800,   3140,   3518,   5738,   5939,   6896, 
/* msg =   1777, deg = 10 */    753,   1029,   1462,   1614,   2801,   3141,   3519,   5739,   5940,   6897, 
/* msg =   1778, deg = 10 */    754,   1030,   1463,   1615,   2802,   3142,   3520,   5740,   5941,   6898, 
/* msg =   1779, deg = 10 */    755,   1031,   1464,   1616,   2803,   3143,   3521,   5741,   5942,   6899, 
/* msg =   1780, deg = 10 */    756,   1032,   1465,   1617,   2804,   3144,   3522,   5742,   5943,   6900, 
/* msg =   1781, deg = 10 */    757,   1033,   1466,   1618,   2805,   3145,   3523,   5743,   5944,   6901, 
/* msg =   1782, deg = 10 */    758,   1034,   1467,   1619,   2806,   3146,   3524,   5744,   5945,   6902, 
/* msg =   1783, deg = 10 */    759,   1035,   1468,   1620,   2807,   3147,   3525,   5745,   5946,   6903, 
/* msg =   1784, deg = 10 */    760,   1036,   1469,   1621,   2808,   3148,   3526,   5746,   5947,   6904, 
/* msg =   1785, deg = 10 */    761,   1037,   1470,   1622,   2809,   3149,   3527,   5747,   5948,   6905, 
/* msg =   1786, deg = 10 */    762,   1038,   1471,   1623,   2810,   3150,   3528,   5748,   5949,   6906, 
/* msg =   1787, deg = 10 */    763,   1039,   1472,   1624,   2811,   3151,   3529,   5749,   5950,   6907, 
/* msg =   1788, deg = 10 */    764,   1040,   1473,   1625,   2812,   3152,   3530,   5750,   5951,   6908, 
/* msg =   1789, deg = 10 */    765,   1041,   1474,   1626,   2813,   3153,   3531,   5751,   5952,   6909, 
/* msg =   1790, deg = 10 */    766,   1042,   1475,   1627,   2814,   3154,   3532,   5752,   5953,   6910, 
/* msg =   1791, deg = 10 */    767,   1043,   1476,   1628,   2815,   3155,   3533,   5753,   5954,   6911, 
/* msg =   1792, deg = 10 */    768,   1377,   1627,   1809,   2816,   3492,   3595,   5245,   6125,   6912, 
/* msg =   1793, deg = 10 */    769,   1378,   1628,   1810,   2817,   3493,   3596,   5246,   6126,   6913, 
/* msg =   1794, deg = 10 */    770,   1379,   1629,   1811,   2818,   3494,   3597,   5247,   6127,   6914, 
/* msg =   1795, deg = 10 */    771,   1380,   1630,   1812,   2819,   3495,   3598,   5248,   6128,   6915, 
/* msg =   1796, deg = 10 */    772,   1381,   1631,   1813,   2820,   3496,   3599,   5249,   6129,   6916, 
/* msg =   1797, deg = 10 */    773,   1382,   1632,   1814,   2821,   3497,   3600,   5250,   6130,   6917, 
/* msg =   1798, deg = 10 */    774,   1383,   1633,   1815,   2822,   3498,   3601,   5251,   6131,   6918, 
/* msg =   1799, deg = 10 */    775,   1384,   1634,   1816,   2823,   3499,   3602,   5252,   6132,   6919, 
/* msg =   1800, deg = 10 */    776,   1385,   1635,   1817,   2824,   3500,   3603,   5253,   6133,   6920, 
/* msg =   1801, deg = 10 */    777,   1386,   1636,   1818,   2825,   3501,   3604,   5254,   6134,   6921, 
/* msg =   1802, deg = 10 */    778,   1387,   1637,   1819,   2826,   3502,   3605,   5255,   6135,   6922, 
/* msg =   1803, deg = 10 */    779,   1388,   1638,   1820,   2827,   3503,   3606,   5256,   6136,   6923, 
/* msg =   1804, deg = 10 */    780,   1389,   1639,   1821,   2828,   3504,   3607,   5257,   6137,   6924, 
/* msg =   1805, deg = 10 */    781,   1390,   1640,   1822,   2829,   3505,   3608,   5258,   6138,   6925, 
/* msg =   1806, deg = 10 */    782,   1391,   1641,   1823,   2830,   3506,   3609,   5259,   6139,   6926, 
/* msg =   1807, deg = 10 */    783,   1392,   1642,   1824,   2831,   3507,   3610,   5260,   6140,   6927, 
/* msg =   1808, deg = 10 */    784,   1393,   1643,   1825,   2832,   3508,   3611,   5261,   6141,   6928, 
/* msg =   1809, deg = 10 */    785,   1394,   1644,   1826,   2833,   3509,   3612,   5262,   6142,   6929, 
/* msg =   1810, deg = 10 */    786,   1395,   1645,   1827,   2834,   3510,   3613,   5263,   6143,   6930, 
/* msg =   1811, deg = 10 */    787,   1396,   1646,   1828,   2835,   3511,   3614,   5264,   5888,   6931, 
/* msg =   1812, deg = 10 */    788,   1397,   1647,   1829,   2836,   3512,   3615,   5265,   5889,   6932, 
/* msg =   1813, deg = 10 */    789,   1398,   1648,   1830,   2837,   3513,   3616,   5266,   5890,   6933, 
/* msg =   1814, deg = 10 */    790,   1399,   1649,   1831,   2838,   3514,   3617,   5267,   5891,   6934, 
/* msg =   1815, deg = 10 */    791,   1400,   1650,   1832,   2839,   3515,   3618,   5268,   5892,   6935, 
/* msg =   1816, deg = 10 */    792,   1401,   1651,   1833,   2840,   3516,   3619,   5269,   5893,   6936, 
/* msg =   1817, deg = 10 */    793,   1402,   1652,   1834,   2841,   3517,   3620,   5270,   5894,   6937, 
/* msg =   1818, deg = 10 */    794,   1403,   1653,   1835,   2842,   3518,   3621,   5271,   5895,   6938, 
/* msg =   1819, deg = 10 */    795,   1404,   1654,   1836,   2843,   3519,   3622,   5272,   5896,   6939, 
/* msg =   1820, deg = 10 */    796,   1405,   1655,   1837,   2844,   3520,   3623,   5273,   5897,   6940, 
/* msg =   1821, deg = 10 */    797,   1406,   1656,   1838,   2845,   3521,   3624,   5274,   5898,   6941, 
/* msg =   1822, deg = 10 */    798,   1407,   1657,   1839,   2846,   3522,   3625,   5275,   5899,   6942, 
/* msg =   1823, deg = 10 */    799,   1408,   1658,   1840,   2847,   3523,   3626,   5276,   5900,   6943, 
/* msg =   1824, deg = 10 */    800,   1409,   1659,   1841,   2848,   3524,   3627,   5277,   5901,   6944, 
/* msg =   1825, deg = 10 */    801,   1410,   1660,   1842,   2849,   3525,   3628,   5278,   5902,   6945, 
/* msg =   1826, deg = 10 */    802,   1411,   1661,   1843,   2850,   3526,   3629,   5279,   5903,   6946, 
/* msg =   1827, deg = 10 */    803,   1412,   1662,   1844,   2851,   3527,   3630,   5280,   5904,   6947, 
/* msg =   1828, deg = 10 */    804,   1413,   1663,   1845,   2852,   3528,   3631,   5281,   5905,   6948, 
/* msg =   1829, deg = 10 */    805,   1414,   1664,   1846,   2853,   3529,   3632,   5282,   5906,   6949, 
/* msg =   1830, deg = 10 */    806,   1415,   1665,   1847,   2854,   3530,   3633,   5283,   5907,   6950, 
/* msg =   1831, deg = 10 */    807,   1416,   1666,   1848,   2855,   3531,   3634,   5284,   5908,   6951, 
/* msg =   1832, deg = 10 */    808,   1417,   1667,   1849,   2856,   3532,   3635,   5285,   5909,   6952, 
/* msg =   1833, deg = 10 */    809,   1418,   1668,   1850,   2857,   3533,   3636,   5286,   5910,   6953, 
/* msg =   1834, deg = 10 */    810,   1419,   1669,   1851,   2858,   3534,   3637,   5287,   5911,   6954, 
/* msg =   1835, deg = 10 */    811,   1420,   1670,   1852,   2859,   3535,   3638,   5288,   5912,   6955, 
/* msg =   1836, deg = 10 */    812,   1421,   1671,   1853,   2860,   3536,   3639,   5289,   5913,   6956, 
/* msg =   1837, deg = 10 */    813,   1422,   1672,   1854,   2861,   3537,   3640,   5290,   5914,   6957, 
/* msg =   1838, deg = 10 */    814,   1423,   1673,   1855,   2862,   3538,   3641,   5291,   5915,   6958, 
/* msg =   1839, deg = 10 */    815,   1424,   1674,   1856,   2863,   3539,   3642,   5292,   5916,   6959, 
/* msg =   1840, deg = 10 */    816,   1425,   1675,   1857,   2864,   3540,   3643,   5293,   5917,   6960, 
/* msg =   1841, deg = 10 */    817,   1426,   1676,   1858,   2865,   3541,   3644,   5294,   5918,   6961, 
/* msg =   1842, deg = 10 */    818,   1427,   1677,   1859,   2866,   3542,   3645,   5295,   5919,   6962, 
/* msg =   1843, deg = 10 */    819,   1428,   1678,   1860,   2867,   3543,   3646,   5296,   5920,   6963, 
/* msg =   1844, deg = 10 */    820,   1429,   1679,   1861,   2868,   3544,   3647,   5297,   5921,   6964, 
/* msg =   1845, deg = 10 */    821,   1430,   1680,   1862,   2869,   3545,   3648,   5298,   5922,   6965, 
/* msg =   1846, deg = 10 */    822,   1431,   1681,   1863,   2870,   3546,   3649,   5299,   5923,   6966, 
/* msg =   1847, deg = 10 */    823,   1432,   1682,   1864,   2871,   3547,   3650,   5300,   5924,   6967, 
/* msg =   1848, deg = 10 */    824,   1433,   1683,   1865,   2872,   3548,   3651,   5301,   5925,   6968, 
/* msg =   1849, deg = 10 */    825,   1434,   1684,   1866,   2873,   3549,   3652,   5302,   5926,   6969, 
/* msg =   1850, deg = 10 */    826,   1435,   1685,   1867,   2874,   3550,   3653,   5303,   5927,   6970, 
/* msg =   1851, deg = 10 */    827,   1436,   1686,   1868,   2875,   3551,   3654,   5304,   5928,   6971, 
/* msg =   1852, deg = 10 */    828,   1437,   1687,   1869,   2876,   3552,   3655,   5305,   5929,   6972, 
/* msg =   1853, deg = 10 */    829,   1438,   1688,   1870,   2877,   3553,   3656,   5306,   5930,   6973, 
/* msg =   1854, deg = 10 */    830,   1439,   1689,   1871,   2878,   3554,   3657,   5307,   5931,   6974, 
/* msg =   1855, deg = 10 */    831,   1440,   1690,   1872,   2879,   3555,   3658,   5308,   5932,   6975, 
/* msg =   1856, deg = 10 */    832,   1441,   1691,   1873,   2880,   3556,   3659,   5309,   5933,   6976, 
/* msg =   1857, deg = 10 */    833,   1442,   1692,   1874,   2881,   3557,   3660,   5310,   5934,   6977, 
/* msg =   1858, deg = 10 */    834,   1443,   1693,   1875,   2882,   3558,   3661,   5311,   5935,   6978, 
/* msg =   1859, deg = 10 */    835,   1444,   1694,   1876,   2883,   3559,   3662,   5312,   5936,   6979, 
/* msg =   1860, deg = 10 */    836,   1445,   1695,   1877,   2884,   3560,   3663,   5313,   5937,   6980, 
/* msg =   1861, deg = 10 */    837,   1446,   1696,   1878,   2885,   3561,   3664,   5314,   5938,   6981, 
/* msg =   1862, deg = 10 */    838,   1447,   1697,   1879,   2886,   3562,   3665,   5315,   5939,   6982, 
/* msg =   1863, deg = 10 */    839,   1448,   1698,   1880,   2887,   3563,   3666,   5316,   5940,   6983, 
/* msg =   1864, deg = 10 */    840,   1449,   1699,   1881,   2888,   3564,   3667,   5317,   5941,   6984, 
/* msg =   1865, deg = 10 */    841,   1450,   1700,   1882,   2889,   3565,   3668,   5318,   5942,   6985, 
/* msg =   1866, deg = 10 */    842,   1451,   1701,   1883,   2890,   3566,   3669,   5319,   5943,   6986, 
/* msg =   1867, deg = 10 */    843,   1452,   1702,   1884,   2891,   3567,   3670,   5320,   5944,   6987, 
/* msg =   1868, deg = 10 */    844,   1453,   1703,   1885,   2892,   3568,   3671,   5321,   5945,   6988, 
/* msg =   1869, deg = 10 */    845,   1454,   1704,   1886,   2893,   3569,   3672,   5322,   5946,   6989, 
/* msg =   1870, deg = 10 */    846,   1455,   1705,   1887,   2894,   3570,   3673,   5323,   5947,   6990, 
/* msg =   1871, deg = 10 */    847,   1456,   1706,   1888,   2895,   3571,   3674,   5324,   5948,   6991, 
/* msg =   1872, deg = 10 */    848,   1457,   1707,   1889,   2896,   3572,   3675,   5325,   5949,   6992, 
/* msg =   1873, deg = 10 */    849,   1458,   1708,   1890,   2897,   3573,   3676,   5326,   5950,   6993, 
/* msg =   1874, deg = 10 */    850,   1459,   1709,   1891,   2898,   3574,   3677,   5327,   5951,   6994, 
/* msg =   1875, deg = 10 */    851,   1460,   1710,   1892,   2899,   3575,   3678,   5328,   5952,   6995, 
/* msg =   1876, deg = 10 */    852,   1461,   1711,   1893,   2900,   3576,   3679,   5329,   5953,   6996, 
/* msg =   1877, deg = 10 */    853,   1462,   1712,   1894,   2901,   3577,   3680,   5330,   5954,   6997, 
/* msg =   1878, deg = 10 */    854,   1463,   1713,   1895,   2902,   3578,   3681,   5331,   5955,   6998, 
/* msg =   1879, deg = 10 */    855,   1464,   1714,   1896,   2903,   3579,   3682,   5332,   5956,   6999, 
/* msg =   1880, deg = 10 */    856,   1465,   1715,   1897,   2904,   3580,   3683,   5333,   5957,   7000, 
/* msg =   1881, deg = 10 */    857,   1466,   1716,   1898,   2905,   3581,   3684,   5334,   5958,   7001, 
/* msg =   1882, deg = 10 */    858,   1467,   1717,   1899,   2906,   3582,   3685,   5335,   5959,   7002, 
/* msg =   1883, deg = 10 */    859,   1468,   1718,   1900,   2907,   3583,   3686,   5336,   5960,   7003, 
/* msg =   1884, deg = 10 */    860,   1469,   1719,   1901,   2908,   3328,   3687,   5337,   5961,   7004, 
/* msg =   1885, deg = 10 */    861,   1470,   1720,   1902,   2909,   3329,   3688,   5338,   5962,   7005, 
/* msg =   1886, deg = 10 */    862,   1471,   1721,   1903,   2910,   3330,   3689,   5339,   5963,   7006, 
/* msg =   1887, deg = 10 */    863,   1472,   1722,   1904,   2911,   3331,   3690,   5340,   5964,   7007, 
/* msg =   1888, deg = 10 */    864,   1473,   1723,   1905,   2912,   3332,   3691,   5341,   5965,   7008, 
/* msg =   1889, deg = 10 */    865,   1474,   1724,   1906,   2913,   3333,   3692,   5342,   5966,   7009, 
/* msg =   1890, deg = 10 */    866,   1475,   1725,   1907,   2914,   3334,   3693,   5343,   5967,   7010, 
/* msg =   1891, deg = 10 */    867,   1476,   1726,   1908,   2915,   3335,   3694,   5344,   5968,   7011, 
/* msg =   1892, deg = 10 */    868,   1477,   1727,   1909,   2916,   3336,   3695,   5345,   5969,   7012, 
/* msg =   1893, deg = 10 */    869,   1478,   1728,   1910,   2917,   3337,   3696,   5346,   5970,   7013, 
/* msg =   1894, deg = 10 */    870,   1479,   1729,   1911,   2918,   3338,   3697,   5347,   5971,   7014, 
/* msg =   1895, deg = 10 */    871,   1480,   1730,   1912,   2919,   3339,   3698,   5348,   5972,   7015, 
/* msg =   1896, deg = 10 */    872,   1481,   1731,   1913,   2920,   3340,   3699,   5349,   5973,   7016, 
/* msg =   1897, deg = 10 */    873,   1482,   1732,   1914,   2921,   3341,   3700,   5350,   5974,   7017, 
/* msg =   1898, deg = 10 */    874,   1483,   1733,   1915,   2922,   3342,   3701,   5351,   5975,   7018, 
/* msg =   1899, deg = 10 */    875,   1484,   1734,   1916,   2923,   3343,   3702,   5352,   5976,   7019, 
/* msg =   1900, deg = 10 */    876,   1485,   1735,   1917,   2924,   3344,   3703,   5353,   5977,   7020, 
/* msg =   1901, deg = 10 */    877,   1486,   1736,   1918,   2925,   3345,   3704,   5354,   5978,   7021, 
/* msg =   1902, deg = 10 */    878,   1487,   1737,   1919,   2926,   3346,   3705,   5355,   5979,   7022, 
/* msg =   1903, deg = 10 */    879,   1488,   1738,   1920,   2927,   3347,   3706,   5356,   5980,   7023, 
/* msg =   1904, deg = 10 */    880,   1489,   1739,   1921,   2928,   3348,   3707,   5357,   5981,   7024, 
/* msg =   1905, deg = 10 */    881,   1490,   1740,   1922,   2929,   3349,   3708,   5358,   5982,   7025, 
/* msg =   1906, deg = 10 */    882,   1491,   1741,   1923,   2930,   3350,   3709,   5359,   5983,   7026, 
/* msg =   1907, deg = 10 */    883,   1492,   1742,   1924,   2931,   3351,   3710,   5360,   5984,   7027, 
/* msg =   1908, deg = 10 */    884,   1493,   1743,   1925,   2932,   3352,   3711,   5361,   5985,   7028, 
/* msg =   1909, deg = 10 */    885,   1494,   1744,   1926,   2933,   3353,   3712,   5362,   5986,   7029, 
/* msg =   1910, deg = 10 */    886,   1495,   1745,   1927,   2934,   3354,   3713,   5363,   5987,   7030, 
/* msg =   1911, deg = 10 */    887,   1496,   1746,   1928,   2935,   3355,   3714,   5364,   5988,   7031, 
/* msg =   1912, deg = 10 */    888,   1497,   1747,   1929,   2936,   3356,   3715,   5365,   5989,   7032, 
/* msg =   1913, deg = 10 */    889,   1498,   1748,   1930,   2937,   3357,   3716,   5366,   5990,   7033, 
/* msg =   1914, deg = 10 */    890,   1499,   1749,   1931,   2938,   3358,   3717,   5367,   5991,   7034, 
/* msg =   1915, deg = 10 */    891,   1500,   1750,   1932,   2939,   3359,   3718,   5368,   5992,   7035, 
/* msg =   1916, deg = 10 */    892,   1501,   1751,   1933,   2940,   3360,   3719,   5369,   5993,   7036, 
/* msg =   1917, deg = 10 */    893,   1502,   1752,   1934,   2941,   3361,   3720,   5370,   5994,   7037, 
/* msg =   1918, deg = 10 */    894,   1503,   1753,   1935,   2942,   3362,   3721,   5371,   5995,   7038, 
/* msg =   1919, deg = 10 */    895,   1504,   1754,   1936,   2943,   3363,   3722,   5372,   5996,   7039, 
/* msg =   1920, deg = 10 */    896,   1505,   1755,   1937,   2944,   3364,   3723,   5373,   5997,   7040, 
/* msg =   1921, deg = 10 */    897,   1506,   1756,   1938,   2945,   3365,   3724,   5374,   5998,   7041, 
/* msg =   1922, deg = 10 */    898,   1507,   1757,   1939,   2946,   3366,   3725,   5375,   5999,   7042, 
/* msg =   1923, deg = 10 */    899,   1508,   1758,   1940,   2947,   3367,   3726,   5120,   6000,   7043, 
/* msg =   1924, deg = 10 */    900,   1509,   1759,   1941,   2948,   3368,   3727,   5121,   6001,   7044, 
/* msg =   1925, deg = 10 */    901,   1510,   1760,   1942,   2949,   3369,   3728,   5122,   6002,   7045, 
/* msg =   1926, deg = 10 */    902,   1511,   1761,   1943,   2950,   3370,   3729,   5123,   6003,   7046, 
/* msg =   1927, deg = 10 */    903,   1512,   1762,   1944,   2951,   3371,   3730,   5124,   6004,   7047, 
/* msg =   1928, deg = 10 */    904,   1513,   1763,   1945,   2952,   3372,   3731,   5125,   6005,   7048, 
/* msg =   1929, deg = 10 */    905,   1514,   1764,   1946,   2953,   3373,   3732,   5126,   6006,   7049, 
/* msg =   1930, deg = 10 */    906,   1515,   1765,   1947,   2954,   3374,   3733,   5127,   6007,   7050, 
/* msg =   1931, deg = 10 */    907,   1516,   1766,   1948,   2955,   3375,   3734,   5128,   6008,   7051, 
/* msg =   1932, deg = 10 */    908,   1517,   1767,   1949,   2956,   3376,   3735,   5129,   6009,   7052, 
/* msg =   1933, deg = 10 */    909,   1518,   1768,   1950,   2957,   3377,   3736,   5130,   6010,   7053, 
/* msg =   1934, deg = 10 */    910,   1519,   1769,   1951,   2958,   3378,   3737,   5131,   6011,   7054, 
/* msg =   1935, deg = 10 */    911,   1520,   1770,   1952,   2959,   3379,   3738,   5132,   6012,   7055, 
/* msg =   1936, deg = 10 */    912,   1521,   1771,   1953,   2960,   3380,   3739,   5133,   6013,   7056, 
/* msg =   1937, deg = 10 */    913,   1522,   1772,   1954,   2961,   3381,   3740,   5134,   6014,   7057, 
/* msg =   1938, deg = 10 */    914,   1523,   1773,   1955,   2962,   3382,   3741,   5135,   6015,   7058, 
/* msg =   1939, deg = 10 */    915,   1524,   1774,   1956,   2963,   3383,   3742,   5136,   6016,   7059, 
/* msg =   1940, deg = 10 */    916,   1525,   1775,   1957,   2964,   3384,   3743,   5137,   6017,   7060, 
/* msg =   1941, deg = 10 */    917,   1526,   1776,   1958,   2965,   3385,   3744,   5138,   6018,   7061, 
/* msg =   1942, deg = 10 */    918,   1527,   1777,   1959,   2966,   3386,   3745,   5139,   6019,   7062, 
/* msg =   1943, deg = 10 */    919,   1528,   1778,   1960,   2967,   3387,   3746,   5140,   6020,   7063, 
/* msg =   1944, deg = 10 */    920,   1529,   1779,   1961,   2968,   3388,   3747,   5141,   6021,   7064, 
/* msg =   1945, deg = 10 */    921,   1530,   1780,   1962,   2969,   3389,   3748,   5142,   6022,   7065, 
/* msg =   1946, deg = 10 */    922,   1531,   1781,   1963,   2970,   3390,   3749,   5143,   6023,   7066, 
/* msg =   1947, deg = 10 */    923,   1532,   1782,   1964,   2971,   3391,   3750,   5144,   6024,   7067, 
/* msg =   1948, deg = 10 */    924,   1533,   1783,   1965,   2972,   3392,   3751,   5145,   6025,   7068, 
/* msg =   1949, deg = 10 */    925,   1534,   1784,   1966,   2973,   3393,   3752,   5146,   6026,   7069, 
/* msg =   1950, deg = 10 */    926,   1535,   1785,   1967,   2974,   3394,   3753,   5147,   6027,   7070, 
/* msg =   1951, deg = 10 */    927,   1280,   1786,   1968,   2975,   3395,   3754,   5148,   6028,   7071, 
/* msg =   1952, deg = 10 */    928,   1281,   1787,   1969,   2976,   3396,   3755,   5149,   6029,   7072, 
/* msg =   1953, deg = 10 */    929,   1282,   1788,   1970,   2977,   3397,   3756,   5150,   6030,   7073, 
/* msg =   1954, deg = 10 */    930,   1283,   1789,   1971,   2978,   3398,   3757,   5151,   6031,   7074, 
/* msg =   1955, deg = 10 */    931,   1284,   1790,   1972,   2979,   3399,   3758,   5152,   6032,   7075, 
/* msg =   1956, deg = 10 */    932,   1285,   1791,   1973,   2980,   3400,   3759,   5153,   6033,   7076, 
/* msg =   1957, deg = 10 */    933,   1286,   1536,   1974,   2981,   3401,   3760,   5154,   6034,   7077, 
/* msg =   1958, deg = 10 */    934,   1287,   1537,   1975,   2982,   3402,   3761,   5155,   6035,   7078, 
/* msg =   1959, deg = 10 */    935,   1288,   1538,   1976,   2983,   3403,   3762,   5156,   6036,   7079, 
/* msg =   1960, deg = 10 */    936,   1289,   1539,   1977,   2984,   3404,   3763,   5157,   6037,   7080, 
/* msg =   1961, deg = 10 */    937,   1290,   1540,   1978,   2985,   3405,   3764,   5158,   6038,   7081, 
/* msg =   1962, deg = 10 */    938,   1291,   1541,   1979,   2986,   3406,   3765,   5159,   6039,   7082, 
/* msg =   1963, deg = 10 */    939,   1292,   1542,   1980,   2987,   3407,   3766,   5160,   6040,   7083, 
/* msg =   1964, deg = 10 */    940,   1293,   1543,   1981,   2988,   3408,   3767,   5161,   6041,   7084, 
/* msg =   1965, deg = 10 */    941,   1294,   1544,   1982,   2989,   3409,   3768,   5162,   6042,   7085, 
/* msg =   1966, deg = 10 */    942,   1295,   1545,   1983,   2990,   3410,   3769,   5163,   6043,   7086, 
/* msg =   1967, deg = 10 */    943,   1296,   1546,   1984,   2991,   3411,   3770,   5164,   6044,   7087, 
/* msg =   1968, deg = 10 */    944,   1297,   1547,   1985,   2992,   3412,   3771,   5165,   6045,   7088, 
/* msg =   1969, deg = 10 */    945,   1298,   1548,   1986,   2993,   3413,   3772,   5166,   6046,   7089, 
/* msg =   1970, deg = 10 */    946,   1299,   1549,   1987,   2994,   3414,   3773,   5167,   6047,   7090, 
/* msg =   1971, deg = 10 */    947,   1300,   1550,   1988,   2995,   3415,   3774,   5168,   6048,   7091, 
/* msg =   1972, deg = 10 */    948,   1301,   1551,   1989,   2996,   3416,   3775,   5169,   6049,   7092, 
/* msg =   1973, deg = 10 */    949,   1302,   1552,   1990,   2997,   3417,   3776,   5170,   6050,   7093, 
/* msg =   1974, deg = 10 */    950,   1303,   1553,   1991,   2998,   3418,   3777,   5171,   6051,   7094, 
/* msg =   1975, deg = 10 */    951,   1304,   1554,   1992,   2999,   3419,   3778,   5172,   6052,   7095, 
/* msg =   1976, deg = 10 */    952,   1305,   1555,   1993,   3000,   3420,   3779,   5173,   6053,   7096, 
/* msg =   1977, deg = 10 */    953,   1306,   1556,   1994,   3001,   3421,   3780,   5174,   6054,   7097, 
/* msg =   1978, deg = 10 */    954,   1307,   1557,   1995,   3002,   3422,   3781,   5175,   6055,   7098, 
/* msg =   1979, deg = 10 */    955,   1308,   1558,   1996,   3003,   3423,   3782,   5176,   6056,   7099, 
/* msg =   1980, deg = 10 */    956,   1309,   1559,   1997,   3004,   3424,   3783,   5177,   6057,   7100, 
/* msg =   1981, deg = 10 */    957,   1310,   1560,   1998,   3005,   3425,   3784,   5178,   6058,   7101, 
/* msg =   1982, deg = 10 */    958,   1311,   1561,   1999,   3006,   3426,   3785,   5179,   6059,   7102, 
/* msg =   1983, deg = 10 */    959,   1312,   1562,   2000,   3007,   3427,   3786,   5180,   6060,   7103, 
/* msg =   1984, deg = 10 */    960,   1313,   1563,   2001,   3008,   3428,   3787,   5181,   6061,   7104, 
/* msg =   1985, deg = 10 */    961,   1314,   1564,   2002,   3009,   3429,   3788,   5182,   6062,   7105, 
/* msg =   1986, deg = 10 */    962,   1315,   1565,   2003,   3010,   3430,   3789,   5183,   6063,   7106, 
/* msg =   1987, deg = 10 */    963,   1316,   1566,   2004,   3011,   3431,   3790,   5184,   6064,   7107, 
/* msg =   1988, deg = 10 */    964,   1317,   1567,   2005,   3012,   3432,   3791,   5185,   6065,   7108, 
/* msg =   1989, deg = 10 */    965,   1318,   1568,   2006,   3013,   3433,   3792,   5186,   6066,   7109, 
/* msg =   1990, deg = 10 */    966,   1319,   1569,   2007,   3014,   3434,   3793,   5187,   6067,   7110, 
/* msg =   1991, deg = 10 */    967,   1320,   1570,   2008,   3015,   3435,   3794,   5188,   6068,   7111, 
/* msg =   1992, deg = 10 */    968,   1321,   1571,   2009,   3016,   3436,   3795,   5189,   6069,   7112, 
/* msg =   1993, deg = 10 */    969,   1322,   1572,   2010,   3017,   3437,   3796,   5190,   6070,   7113, 
/* msg =   1994, deg = 10 */    970,   1323,   1573,   2011,   3018,   3438,   3797,   5191,   6071,   7114, 
/* msg =   1995, deg = 10 */    971,   1324,   1574,   2012,   3019,   3439,   3798,   5192,   6072,   7115, 
/* msg =   1996, deg = 10 */    972,   1325,   1575,   2013,   3020,   3440,   3799,   5193,   6073,   7116, 
/* msg =   1997, deg = 10 */    973,   1326,   1576,   2014,   3021,   3441,   3800,   5194,   6074,   7117, 
/* msg =   1998, deg = 10 */    974,   1327,   1577,   2015,   3022,   3442,   3801,   5195,   6075,   7118, 
/* msg =   1999, deg = 10 */    975,   1328,   1578,   2016,   3023,   3443,   3802,   5196,   6076,   7119, 
/* msg =   2000, deg = 10 */    976,   1329,   1579,   2017,   3024,   3444,   3803,   5197,   6077,   7120, 
/* msg =   2001, deg = 10 */    977,   1330,   1580,   2018,   3025,   3445,   3804,   5198,   6078,   7121, 
/* msg =   2002, deg = 10 */    978,   1331,   1581,   2019,   3026,   3446,   3805,   5199,   6079,   7122, 
/* msg =   2003, deg = 10 */    979,   1332,   1582,   2020,   3027,   3447,   3806,   5200,   6080,   7123, 
/* msg =   2004, deg = 10 */    980,   1333,   1583,   2021,   3028,   3448,   3807,   5201,   6081,   7124, 
/* msg =   2005, deg = 10 */    981,   1334,   1584,   2022,   3029,   3449,   3808,   5202,   6082,   7125, 
/* msg =   2006, deg = 10 */    982,   1335,   1585,   2023,   3030,   3450,   3809,   5203,   6083,   7126, 
/* msg =   2007, deg = 10 */    983,   1336,   1586,   2024,   3031,   3451,   3810,   5204,   6084,   7127, 
/* msg =   2008, deg = 10 */    984,   1337,   1587,   2025,   3032,   3452,   3811,   5205,   6085,   7128, 
/* msg =   2009, deg = 10 */    985,   1338,   1588,   2026,   3033,   3453,   3812,   5206,   6086,   7129, 
/* msg =   2010, deg = 10 */    986,   1339,   1589,   2027,   3034,   3454,   3813,   5207,   6087,   7130, 
/* msg =   2011, deg = 10 */    987,   1340,   1590,   2028,   3035,   3455,   3814,   5208,   6088,   7131, 
/* msg =   2012, deg = 10 */    988,   1341,   1591,   2029,   3036,   3456,   3815,   5209,   6089,   7132, 
/* msg =   2013, deg = 10 */    989,   1342,   1592,   2030,   3037,   3457,   3816,   5210,   6090,   7133, 
/* msg =   2014, deg = 10 */    990,   1343,   1593,   2031,   3038,   3458,   3817,   5211,   6091,   7134, 
/* msg =   2015, deg = 10 */    991,   1344,   1594,   2032,   3039,   3459,   3818,   5212,   6092,   7135, 
/* msg =   2016, deg = 10 */    992,   1345,   1595,   2033,   3040,   3460,   3819,   5213,   6093,   7136, 
/* msg =   2017, deg = 10 */    993,   1346,   1596,   2034,   3041,   3461,   3820,   5214,   6094,   7137, 
/* msg =   2018, deg = 10 */    994,   1347,   1597,   2035,   3042,   3462,   3821,   5215,   6095,   7138, 
/* msg =   2019, deg = 10 */    995,   1348,   1598,   2036,   3043,   3463,   3822,   5216,   6096,   7139, 
/* msg =   2020, deg = 10 */    996,   1349,   1599,   2037,   3044,   3464,   3823,   5217,   6097,   7140, 
/* msg =   2021, deg = 10 */    997,   1350,   1600,   2038,   3045,   3465,   3824,   5218,   6098,   7141, 
/* msg =   2022, deg = 10 */    998,   1351,   1601,   2039,   3046,   3466,   3825,   5219,   6099,   7142, 
/* msg =   2023, deg = 10 */    999,   1352,   1602,   2040,   3047,   3467,   3826,   5220,   6100,   7143, 
/* msg =   2024, deg = 10 */   1000,   1353,   1603,   2041,   3048,   3468,   3827,   5221,   6101,   7144, 
/* msg =   2025, deg = 10 */   1001,   1354,   1604,   2042,   3049,   3469,   3828,   5222,   6102,   7145, 
/* msg =   2026, deg = 10 */   1002,   1355,   1605,   2043,   3050,   3470,   3829,   5223,   6103,   7146, 
/* msg =   2027, deg = 10 */   1003,   1356,   1606,   2044,   3051,   3471,   3830,   5224,   6104,   7147, 
/* msg =   2028, deg = 10 */   1004,   1357,   1607,   2045,   3052,   3472,   3831,   5225,   6105,   7148, 
/* msg =   2029, deg = 10 */   1005,   1358,   1608,   2046,   3053,   3473,   3832,   5226,   6106,   7149, 
/* msg =   2030, deg = 10 */   1006,   1359,   1609,   2047,   3054,   3474,   3833,   5227,   6107,   7150, 
/* msg =   2031, deg = 10 */   1007,   1360,   1610,   1792,   3055,   3475,   3834,   5228,   6108,   7151, 
/* msg =   2032, deg = 10 */   1008,   1361,   1611,   1793,   3056,   3476,   3835,   5229,   6109,   7152, 
/* msg =   2033, deg = 10 */   1009,   1362,   1612,   1794,   3057,   3477,   3836,   5230,   6110,   7153, 
/* msg =   2034, deg = 10 */   1010,   1363,   1613,   1795,   3058,   3478,   3837,   5231,   6111,   7154, 
/* msg =   2035, deg = 10 */   1011,   1364,   1614,   1796,   3059,   3479,   3838,   5232,   6112,   7155, 
/* msg =   2036, deg = 10 */   1012,   1365,   1615,   1797,   3060,   3480,   3839,   5233,   6113,   7156, 
/* msg =   2037, deg = 10 */   1013,   1366,   1616,   1798,   3061,   3481,   3584,   5234,   6114,   7157, 
/* msg =   2038, deg = 10 */   1014,   1367,   1617,   1799,   3062,   3482,   3585,   5235,   6115,   7158, 
/* msg =   2039, deg = 10 */   1015,   1368,   1618,   1800,   3063,   3483,   3586,   5236,   6116,   7159, 
/* msg =   2040, deg = 10 */   1016,   1369,   1619,   1801,   3064,   3484,   3587,   5237,   6117,   7160, 
/* msg =   2041, deg = 10 */   1017,   1370,   1620,   1802,   3065,   3485,   3588,   5238,   6118,   7161, 
/* msg =   2042, deg = 10 */   1018,   1371,   1621,   1803,   3066,   3486,   3589,   5239,   6119,   7162, 
/* msg =   2043, deg = 10 */   1019,   1372,   1622,   1804,   3067,   3487,   3590,   5240,   6120,   7163, 
/* msg =   2044, deg = 10 */   1020,   1373,   1623,   1805,   3068,   3488,   3591,   5241,   6121,   7164, 
/* msg =   2045, deg = 10 */   1021,   1374,   1624,   1806,   3069,   3489,   3592,   5242,   6122,   7165, 
/* msg =   2046, deg = 10 */   1022,   1375,   1625,   1807,   3070,   3490,   3593,   5243,   6123,   7166, 
/* msg =   2047, deg = 10 */   1023,   1376,   1626,   1808,   3071,   3491,   3594,   5244,   6124,   7167, 
/* msg =   2048, deg =  3 */   4096,   6144,   7072, 
/* msg =   2049, deg =  3 */   4097,   6145,   7073, 
/* msg =   2050, deg =  3 */   4098,   6146,   7074, 
/* msg =   2051, deg =  3 */   4099,   6147,   7075, 
/* msg =   2052, deg =  3 */   4100,   6148,   7076, 
/* msg =   2053, deg =  3 */   4101,   6149,   7077, 
/* msg =   2054, deg =  3 */   4102,   6150,   7078, 
/* msg =   2055, deg =  3 */   4103,   6151,   7079, 
/* msg =   2056, deg =  3 */   4104,   6152,   7080, 
/* msg =   2057, deg =  3 */   4105,   6153,   7081, 
/* msg =   2058, deg =  3 */   4106,   6154,   7082, 
/* msg =   2059, deg =  3 */   4107,   6155,   7083, 
/* msg =   2060, deg =  3 */   4108,   6156,   7084, 
/* msg =   2061, deg =  3 */   4109,   6157,   7085, 
/* msg =   2062, deg =  3 */   4110,   6158,   7086, 
/* msg =   2063, deg =  3 */   4111,   6159,   7087, 
/* msg =   2064, deg =  3 */   4112,   6160,   7088, 
/* msg =   2065, deg =  3 */   4113,   6161,   7089, 
/* msg =   2066, deg =  3 */   4114,   6162,   7090, 
/* msg =   2067, deg =  3 */   4115,   6163,   7091, 
/* msg =   2068, deg =  3 */   4116,   6164,   7092, 
/* msg =   2069, deg =  3 */   4117,   6165,   7093, 
/* msg =   2070, deg =  3 */   4118,   6166,   7094, 
/* msg =   2071, deg =  3 */   4119,   6167,   7095, 
/* msg =   2072, deg =  3 */   4120,   6168,   7096, 
/* msg =   2073, deg =  3 */   4121,   6169,   7097, 
/* msg =   2074, deg =  3 */   4122,   6170,   7098, 
/* msg =   2075, deg =  3 */   4123,   6171,   7099, 
/* msg =   2076, deg =  3 */   4124,   6172,   7100, 
/* msg =   2077, deg =  3 */   4125,   6173,   7101, 
/* msg =   2078, deg =  3 */   4126,   6174,   7102, 
/* msg =   2079, deg =  3 */   4127,   6175,   7103, 
/* msg =   2080, deg =  3 */   4128,   6176,   7104, 
/* msg =   2081, deg =  3 */   4129,   6177,   7105, 
/* msg =   2082, deg =  3 */   4130,   6178,   7106, 
/* msg =   2083, deg =  3 */   4131,   6179,   7107, 
/* msg =   2084, deg =  3 */   4132,   6180,   7108, 
/* msg =   2085, deg =  3 */   4133,   6181,   7109, 
/* msg =   2086, deg =  3 */   4134,   6182,   7110, 
/* msg =   2087, deg =  3 */   4135,   6183,   7111, 
/* msg =   2088, deg =  3 */   4136,   6184,   7112, 
/* msg =   2089, deg =  3 */   4137,   6185,   7113, 
/* msg =   2090, deg =  3 */   4138,   6186,   7114, 
/* msg =   2091, deg =  3 */   4139,   6187,   7115, 
/* msg =   2092, deg =  3 */   4140,   6188,   7116, 
/* msg =   2093, deg =  3 */   4141,   6189,   7117, 
/* msg =   2094, deg =  3 */   4142,   6190,   7118, 
/* msg =   2095, deg =  3 */   4143,   6191,   7119, 
/* msg =   2096, deg =  3 */   4144,   6192,   7120, 
/* msg =   2097, deg =  3 */   4145,   6193,   7121, 
/* msg =   2098, deg =  3 */   4146,   6194,   7122, 
/* msg =   2099, deg =  3 */   4147,   6195,   7123, 
/* msg =   2100, deg =  3 */   4148,   6196,   7124, 
/* msg =   2101, deg =  3 */   4149,   6197,   7125, 
/* msg =   2102, deg =  3 */   4150,   6198,   7126, 
/* msg =   2103, deg =  3 */   4151,   6199,   7127, 
/* msg =   2104, deg =  3 */   4152,   6200,   7128, 
/* msg =   2105, deg =  3 */   4153,   6201,   7129, 
/* msg =   2106, deg =  3 */   4154,   6202,   7130, 
/* msg =   2107, deg =  3 */   4155,   6203,   7131, 
/* msg =   2108, deg =  3 */   4156,   6204,   7132, 
/* msg =   2109, deg =  3 */   4157,   6205,   7133, 
/* msg =   2110, deg =  3 */   4158,   6206,   7134, 
/* msg =   2111, deg =  3 */   4159,   6207,   7135, 
/* msg =   2112, deg =  3 */   4160,   6208,   7136, 
/* msg =   2113, deg =  3 */   4161,   6209,   7137, 
/* msg =   2114, deg =  3 */   4162,   6210,   7138, 
/* msg =   2115, deg =  3 */   4163,   6211,   7139, 
/* msg =   2116, deg =  3 */   4164,   6212,   7140, 
/* msg =   2117, deg =  3 */   4165,   6213,   7141, 
/* msg =   2118, deg =  3 */   4166,   6214,   7142, 
/* msg =   2119, deg =  3 */   4167,   6215,   7143, 
/* msg =   2120, deg =  3 */   4168,   6216,   7144, 
/* msg =   2121, deg =  3 */   4169,   6217,   7145, 
/* msg =   2122, deg =  3 */   4170,   6218,   7146, 
/* msg =   2123, deg =  3 */   4171,   6219,   7147, 
/* msg =   2124, deg =  3 */   4172,   6220,   7148, 
/* msg =   2125, deg =  3 */   4173,   6221,   7149, 
/* msg =   2126, deg =  3 */   4174,   6222,   7150, 
/* msg =   2127, deg =  3 */   4175,   6223,   7151, 
/* msg =   2128, deg =  3 */   4176,   6224,   7152, 
/* msg =   2129, deg =  3 */   4177,   6225,   7153, 
/* msg =   2130, deg =  3 */   4178,   6226,   7154, 
/* msg =   2131, deg =  3 */   4179,   6227,   7155, 
/* msg =   2132, deg =  3 */   4180,   6228,   7156, 
/* msg =   2133, deg =  3 */   4181,   6229,   7157, 
/* msg =   2134, deg =  3 */   4182,   6230,   7158, 
/* msg =   2135, deg =  3 */   4183,   6231,   7159, 
/* msg =   2136, deg =  3 */   4184,   6232,   7160, 
/* msg =   2137, deg =  3 */   4185,   6233,   7161, 
/* msg =   2138, deg =  3 */   4186,   6234,   7162, 
/* msg =   2139, deg =  3 */   4187,   6235,   7163, 
/* msg =   2140, deg =  3 */   4188,   6236,   7164, 
/* msg =   2141, deg =  3 */   4189,   6237,   7165, 
/* msg =   2142, deg =  3 */   4190,   6238,   7166, 
/* msg =   2143, deg =  3 */   4191,   6239,   7167, 
/* msg =   2144, deg =  3 */   4192,   6240,   6912, 
/* msg =   2145, deg =  3 */   4193,   6241,   6913, 
/* msg =   2146, deg =  3 */   4194,   6242,   6914, 
/* msg =   2147, deg =  3 */   4195,   6243,   6915, 
/* msg =   2148, deg =  3 */   4196,   6244,   6916, 
/* msg =   2149, deg =  3 */   4197,   6245,   6917, 
/* msg =   2150, deg =  3 */   4198,   6246,   6918, 
/* msg =   2151, deg =  3 */   4199,   6247,   6919, 
/* msg =   2152, deg =  3 */   4200,   6248,   6920, 
/* msg =   2153, deg =  3 */   4201,   6249,   6921, 
/* msg =   2154, deg =  3 */   4202,   6250,   6922, 
/* msg =   2155, deg =  3 */   4203,   6251,   6923, 
/* msg =   2156, deg =  3 */   4204,   6252,   6924, 
/* msg =   2157, deg =  3 */   4205,   6253,   6925, 
/* msg =   2158, deg =  3 */   4206,   6254,   6926, 
/* msg =   2159, deg =  3 */   4207,   6255,   6927, 
/* msg =   2160, deg =  3 */   4208,   6256,   6928, 
/* msg =   2161, deg =  3 */   4209,   6257,   6929, 
/* msg =   2162, deg =  3 */   4210,   6258,   6930, 
/* msg =   2163, deg =  3 */   4211,   6259,   6931, 
/* msg =   2164, deg =  3 */   4212,   6260,   6932, 
/* msg =   2165, deg =  3 */   4213,   6261,   6933, 
/* msg =   2166, deg =  3 */   4214,   6262,   6934, 
/* msg =   2167, deg =  3 */   4215,   6263,   6935, 
/* msg =   2168, deg =  3 */   4216,   6264,   6936, 
/* msg =   2169, deg =  3 */   4217,   6265,   6937, 
/* msg =   2170, deg =  3 */   4218,   6266,   6938, 
/* msg =   2171, deg =  3 */   4219,   6267,   6939, 
/* msg =   2172, deg =  3 */   4220,   6268,   6940, 
/* msg =   2173, deg =  3 */   4221,   6269,   6941, 
/* msg =   2174, deg =  3 */   4222,   6270,   6942, 
/* msg =   2175, deg =  3 */   4223,   6271,   6943, 
/* msg =   2176, deg =  3 */   4224,   6272,   6944, 
/* msg =   2177, deg =  3 */   4225,   6273,   6945, 
/* msg =   2178, deg =  3 */   4226,   6274,   6946, 
/* msg =   2179, deg =  3 */   4227,   6275,   6947, 
/* msg =   2180, deg =  3 */   4228,   6276,   6948, 
/* msg =   2181, deg =  3 */   4229,   6277,   6949, 
/* msg =   2182, deg =  3 */   4230,   6278,   6950, 
/* msg =   2183, deg =  3 */   4231,   6279,   6951, 
/* msg =   2184, deg =  3 */   4232,   6280,   6952, 
/* msg =   2185, deg =  3 */   4233,   6281,   6953, 
/* msg =   2186, deg =  3 */   4234,   6282,   6954, 
/* msg =   2187, deg =  3 */   4235,   6283,   6955, 
/* msg =   2188, deg =  3 */   4236,   6284,   6956, 
/* msg =   2189, deg =  3 */   4237,   6285,   6957, 
/* msg =   2190, deg =  3 */   4238,   6286,   6958, 
/* msg =   2191, deg =  3 */   4239,   6287,   6959, 
/* msg =   2192, deg =  3 */   4240,   6288,   6960, 
/* msg =   2193, deg =  3 */   4241,   6289,   6961, 
/* msg =   2194, deg =  3 */   4242,   6290,   6962, 
/* msg =   2195, deg =  3 */   4243,   6291,   6963, 
/* msg =   2196, deg =  3 */   4244,   6292,   6964, 
/* msg =   2197, deg =  3 */   4245,   6293,   6965, 
/* msg =   2198, deg =  3 */   4246,   6294,   6966, 
/* msg =   2199, deg =  3 */   4247,   6295,   6967, 
/* msg =   2200, deg =  3 */   4248,   6296,   6968, 
/* msg =   2201, deg =  3 */   4249,   6297,   6969, 
/* msg =   2202, deg =  3 */   4250,   6298,   6970, 
/* msg =   2203, deg =  3 */   4251,   6299,   6971, 
/* msg =   2204, deg =  3 */   4252,   6300,   6972, 
/* msg =   2205, deg =  3 */   4253,   6301,   6973, 
/* msg =   2206, deg =  3 */   4254,   6302,   6974, 
/* msg =   2207, deg =  3 */   4255,   6303,   6975, 
/* msg =   2208, deg =  3 */   4256,   6304,   6976, 
/* msg =   2209, deg =  3 */   4257,   6305,   6977, 
/* msg =   2210, deg =  3 */   4258,   6306,   6978, 
/* msg =   2211, deg =  3 */   4259,   6307,   6979, 
/* msg =   2212, deg =  3 */   4260,   6308,   6980, 
/* msg =   2213, deg =  3 */   4261,   6309,   6981, 
/* msg =   2214, deg =  3 */   4262,   6310,   6982, 
/* msg =   2215, deg =  3 */   4263,   6311,   6983, 
/* msg =   2216, deg =  3 */   4264,   6312,   6984, 
/* msg =   2217, deg =  3 */   4265,   6313,   6985, 
/* msg =   2218, deg =  3 */   4266,   6314,   6986, 
/* msg =   2219, deg =  3 */   4267,   6315,   6987, 
/* msg =   2220, deg =  3 */   4268,   6316,   6988, 
/* msg =   2221, deg =  3 */   4269,   6317,   6989, 
/* msg =   2222, deg =  3 */   4270,   6318,   6990, 
/* msg =   2223, deg =  3 */   4271,   6319,   6991, 
/* msg =   2224, deg =  3 */   4272,   6320,   6992, 
/* msg =   2225, deg =  3 */   4273,   6321,   6993, 
/* msg =   2226, deg =  3 */   4274,   6322,   6994, 
/* msg =   2227, deg =  3 */   4275,   6323,   6995, 
/* msg =   2228, deg =  3 */   4276,   6324,   6996, 
/* msg =   2229, deg =  3 */   4277,   6325,   6997, 
/* msg =   2230, deg =  3 */   4278,   6326,   6998, 
/* msg =   2231, deg =  3 */   4279,   6327,   6999, 
/* msg =   2232, deg =  3 */   4280,   6328,   7000, 
/* msg =   2233, deg =  3 */   4281,   6329,   7001, 
/* msg =   2234, deg =  3 */   4282,   6330,   7002, 
/* msg =   2235, deg =  3 */   4283,   6331,   7003, 
/* msg =   2236, deg =  3 */   4284,   6332,   7004, 
/* msg =   2237, deg =  3 */   4285,   6333,   7005, 
/* msg =   2238, deg =  3 */   4286,   6334,   7006, 
/* msg =   2239, deg =  3 */   4287,   6335,   7007, 
/* msg =   2240, deg =  3 */   4288,   6336,   7008, 
/* msg =   2241, deg =  3 */   4289,   6337,   7009, 
/* msg =   2242, deg =  3 */   4290,   6338,   7010, 
/* msg =   2243, deg =  3 */   4291,   6339,   7011, 
/* msg =   2244, deg =  3 */   4292,   6340,   7012, 
/* msg =   2245, deg =  3 */   4293,   6341,   7013, 
/* msg =   2246, deg =  3 */   4294,   6342,   7014, 
/* msg =   2247, deg =  3 */   4295,   6343,   7015, 
/* msg =   2248, deg =  3 */   4296,   6344,   7016, 
/* msg =   2249, deg =  3 */   4297,   6345,   7017, 
/* msg =   2250, deg =  3 */   4298,   6346,   7018, 
/* msg =   2251, deg =  3 */   4299,   6347,   7019, 
/* msg =   2252, deg =  3 */   4300,   6348,   7020, 
/* msg =   2253, deg =  3 */   4301,   6349,   7021, 
/* msg =   2254, deg =  3 */   4302,   6350,   7022, 
/* msg =   2255, deg =  3 */   4303,   6351,   7023, 
/* msg =   2256, deg =  3 */   4304,   6352,   7024, 
/* msg =   2257, deg =  3 */   4305,   6353,   7025, 
/* msg =   2258, deg =  3 */   4306,   6354,   7026, 
/* msg =   2259, deg =  3 */   4307,   6355,   7027, 
/* msg =   2260, deg =  3 */   4308,   6356,   7028, 
/* msg =   2261, deg =  3 */   4309,   6357,   7029, 
/* msg =   2262, deg =  3 */   4310,   6358,   7030, 
/* msg =   2263, deg =  3 */   4311,   6359,   7031, 
/* msg =   2264, deg =  3 */   4312,   6360,   7032, 
/* msg =   2265, deg =  3 */   4313,   6361,   7033, 
/* msg =   2266, deg =  3 */   4314,   6362,   7034, 
/* msg =   2267, deg =  3 */   4315,   6363,   7035, 
/* msg =   2268, deg =  3 */   4316,   6364,   7036, 
/* msg =   2269, deg =  3 */   4317,   6365,   7037, 
/* msg =   2270, deg =  3 */   4318,   6366,   7038, 
/* msg =   2271, deg =  3 */   4319,   6367,   7039, 
/* msg =   2272, deg =  3 */   4320,   6368,   7040, 
/* msg =   2273, deg =  3 */   4321,   6369,   7041, 
/* msg =   2274, deg =  3 */   4322,   6370,   7042, 
/* msg =   2275, deg =  3 */   4323,   6371,   7043, 
/* msg =   2276, deg =  3 */   4324,   6372,   7044, 
/* msg =   2277, deg =  3 */   4325,   6373,   7045, 
/* msg =   2278, deg =  3 */   4326,   6374,   7046, 
/* msg =   2279, deg =  3 */   4327,   6375,   7047, 
/* msg =   2280, deg =  3 */   4328,   6376,   7048, 
/* msg =   2281, deg =  3 */   4329,   6377,   7049, 
/* msg =   2282, deg =  3 */   4330,   6378,   7050, 
/* msg =   2283, deg =  3 */   4331,   6379,   7051, 
/* msg =   2284, deg =  3 */   4332,   6380,   7052, 
/* msg =   2285, deg =  3 */   4333,   6381,   7053, 
/* msg =   2286, deg =  3 */   4334,   6382,   7054, 
/* msg =   2287, deg =  3 */   4335,   6383,   7055, 
/* msg =   2288, deg =  3 */   4336,   6384,   7056, 
/* msg =   2289, deg =  3 */   4337,   6385,   7057, 
/* msg =   2290, deg =  3 */   4338,   6386,   7058, 
/* msg =   2291, deg =  3 */   4339,   6387,   7059, 
/* msg =   2292, deg =  3 */   4340,   6388,   7060, 
/* msg =   2293, deg =  3 */   4341,   6389,   7061, 
/* msg =   2294, deg =  3 */   4342,   6390,   7062, 
/* msg =   2295, deg =  3 */   4343,   6391,   7063, 
/* msg =   2296, deg =  3 */   4344,   6392,   7064, 
/* msg =   2297, deg =  3 */   4345,   6393,   7065, 
/* msg =   2298, deg =  3 */   4346,   6394,   7066, 
/* msg =   2299, deg =  3 */   4347,   6395,   7067, 
/* msg =   2300, deg =  3 */   4348,   6396,   7068, 
/* msg =   2301, deg =  3 */   4349,   6397,   7069, 
/* msg =   2302, deg =  3 */   4350,   6398,   7070, 
/* msg =   2303, deg =  3 */   4351,   6399,   7071, 
/* msg =   2304, deg =  3 */   4352,   6144,   6400, 
/* msg =   2305, deg =  3 */   4353,   6145,   6401, 
/* msg =   2306, deg =  3 */   4354,   6146,   6402, 
/* msg =   2307, deg =  3 */   4355,   6147,   6403, 
/* msg =   2308, deg =  3 */   4356,   6148,   6404, 
/* msg =   2309, deg =  3 */   4357,   6149,   6405, 
/* msg =   2310, deg =  3 */   4358,   6150,   6406, 
/* msg =   2311, deg =  3 */   4359,   6151,   6407, 
/* msg =   2312, deg =  3 */   4360,   6152,   6408, 
/* msg =   2313, deg =  3 */   4361,   6153,   6409, 
/* msg =   2314, deg =  3 */   4362,   6154,   6410, 
/* msg =   2315, deg =  3 */   4363,   6155,   6411, 
/* msg =   2316, deg =  3 */   4364,   6156,   6412, 
/* msg =   2317, deg =  3 */   4365,   6157,   6413, 
/* msg =   2318, deg =  3 */   4366,   6158,   6414, 
/* msg =   2319, deg =  3 */   4367,   6159,   6415, 
/* msg =   2320, deg =  3 */   4368,   6160,   6416, 
/* msg =   2321, deg =  3 */   4369,   6161,   6417, 
/* msg =   2322, deg =  3 */   4370,   6162,   6418, 
/* msg =   2323, deg =  3 */   4371,   6163,   6419, 
/* msg =   2324, deg =  3 */   4372,   6164,   6420, 
/* msg =   2325, deg =  3 */   4373,   6165,   6421, 
/* msg =   2326, deg =  3 */   4374,   6166,   6422, 
/* msg =   2327, deg =  3 */   4375,   6167,   6423, 
/* msg =   2328, deg =  3 */   4376,   6168,   6424, 
/* msg =   2329, deg =  3 */   4377,   6169,   6425, 
/* msg =   2330, deg =  3 */   4378,   6170,   6426, 
/* msg =   2331, deg =  3 */   4379,   6171,   6427, 
/* msg =   2332, deg =  3 */   4380,   6172,   6428, 
/* msg =   2333, deg =  3 */   4381,   6173,   6429, 
/* msg =   2334, deg =  3 */   4382,   6174,   6430, 
/* msg =   2335, deg =  3 */   4383,   6175,   6431, 
/* msg =   2336, deg =  3 */   4384,   6176,   6432, 
/* msg =   2337, deg =  3 */   4385,   6177,   6433, 
/* msg =   2338, deg =  3 */   4386,   6178,   6434, 
/* msg =   2339, deg =  3 */   4387,   6179,   6435, 
/* msg =   2340, deg =  3 */   4388,   6180,   6436, 
/* msg =   2341, deg =  3 */   4389,   6181,   6437, 
/* msg =   2342, deg =  3 */   4390,   6182,   6438, 
/* msg =   2343, deg =  3 */   4391,   6183,   6439, 
/* msg =   2344, deg =  3 */   4392,   6184,   6440, 
/* msg =   2345, deg =  3 */   4393,   6185,   6441, 
/* msg =   2346, deg =  3 */   4394,   6186,   6442, 
/* msg =   2347, deg =  3 */   4395,   6187,   6443, 
/* msg =   2348, deg =  3 */   4396,   6188,   6444, 
/* msg =   2349, deg =  3 */   4397,   6189,   6445, 
/* msg =   2350, deg =  3 */   4398,   6190,   6446, 
/* msg =   2351, deg =  3 */   4399,   6191,   6447, 
/* msg =   2352, deg =  3 */   4400,   6192,   6448, 
/* msg =   2353, deg =  3 */   4401,   6193,   6449, 
/* msg =   2354, deg =  3 */   4402,   6194,   6450, 
/* msg =   2355, deg =  3 */   4403,   6195,   6451, 
/* msg =   2356, deg =  3 */   4404,   6196,   6452, 
/* msg =   2357, deg =  3 */   4405,   6197,   6453, 
/* msg =   2358, deg =  3 */   4406,   6198,   6454, 
/* msg =   2359, deg =  3 */   4407,   6199,   6455, 
/* msg =   2360, deg =  3 */   4408,   6200,   6456, 
/* msg =   2361, deg =  3 */   4409,   6201,   6457, 
/* msg =   2362, deg =  3 */   4410,   6202,   6458, 
/* msg =   2363, deg =  3 */   4411,   6203,   6459, 
/* msg =   2364, deg =  3 */   4412,   6204,   6460, 
/* msg =   2365, deg =  3 */   4413,   6205,   6461, 
/* msg =   2366, deg =  3 */   4414,   6206,   6462, 
/* msg =   2367, deg =  3 */   4415,   6207,   6463, 
/* msg =   2368, deg =  3 */   4416,   6208,   6464, 
/* msg =   2369, deg =  3 */   4417,   6209,   6465, 
/* msg =   2370, deg =  3 */   4418,   6210,   6466, 
/* msg =   2371, deg =  3 */   4419,   6211,   6467, 
/* msg =   2372, deg =  3 */   4420,   6212,   6468, 
/* msg =   2373, deg =  3 */   4421,   6213,   6469, 
/* msg =   2374, deg =  3 */   4422,   6214,   6470, 
/* msg =   2375, deg =  3 */   4423,   6215,   6471, 
/* msg =   2376, deg =  3 */   4424,   6216,   6472, 
/* msg =   2377, deg =  3 */   4425,   6217,   6473, 
/* msg =   2378, deg =  3 */   4426,   6218,   6474, 
/* msg =   2379, deg =  3 */   4427,   6219,   6475, 
/* msg =   2380, deg =  3 */   4428,   6220,   6476, 
/* msg =   2381, deg =  3 */   4429,   6221,   6477, 
/* msg =   2382, deg =  3 */   4430,   6222,   6478, 
/* msg =   2383, deg =  3 */   4431,   6223,   6479, 
/* msg =   2384, deg =  3 */   4432,   6224,   6480, 
/* msg =   2385, deg =  3 */   4433,   6225,   6481, 
/* msg =   2386, deg =  3 */   4434,   6226,   6482, 
/* msg =   2387, deg =  3 */   4435,   6227,   6483, 
/* msg =   2388, deg =  3 */   4436,   6228,   6484, 
/* msg =   2389, deg =  3 */   4437,   6229,   6485, 
/* msg =   2390, deg =  3 */   4438,   6230,   6486, 
/* msg =   2391, deg =  3 */   4439,   6231,   6487, 
/* msg =   2392, deg =  3 */   4440,   6232,   6488, 
/* msg =   2393, deg =  3 */   4441,   6233,   6489, 
/* msg =   2394, deg =  3 */   4442,   6234,   6490, 
/* msg =   2395, deg =  3 */   4443,   6235,   6491, 
/* msg =   2396, deg =  3 */   4444,   6236,   6492, 
/* msg =   2397, deg =  3 */   4445,   6237,   6493, 
/* msg =   2398, deg =  3 */   4446,   6238,   6494, 
/* msg =   2399, deg =  3 */   4447,   6239,   6495, 
/* msg =   2400, deg =  3 */   4448,   6240,   6496, 
/* msg =   2401, deg =  3 */   4449,   6241,   6497, 
/* msg =   2402, deg =  3 */   4450,   6242,   6498, 
/* msg =   2403, deg =  3 */   4451,   6243,   6499, 
/* msg =   2404, deg =  3 */   4452,   6244,   6500, 
/* msg =   2405, deg =  3 */   4453,   6245,   6501, 
/* msg =   2406, deg =  3 */   4454,   6246,   6502, 
/* msg =   2407, deg =  3 */   4455,   6247,   6503, 
/* msg =   2408, deg =  3 */   4456,   6248,   6504, 
/* msg =   2409, deg =  3 */   4457,   6249,   6505, 
/* msg =   2410, deg =  3 */   4458,   6250,   6506, 
/* msg =   2411, deg =  3 */   4459,   6251,   6507, 
/* msg =   2412, deg =  3 */   4460,   6252,   6508, 
/* msg =   2413, deg =  3 */   4461,   6253,   6509, 
/* msg =   2414, deg =  3 */   4462,   6254,   6510, 
/* msg =   2415, deg =  3 */   4463,   6255,   6511, 
/* msg =   2416, deg =  3 */   4464,   6256,   6512, 
/* msg =   2417, deg =  3 */   4465,   6257,   6513, 
/* msg =   2418, deg =  3 */   4466,   6258,   6514, 
/* msg =   2419, deg =  3 */   4467,   6259,   6515, 
/* msg =   2420, deg =  3 */   4468,   6260,   6516, 
/* msg =   2421, deg =  3 */   4469,   6261,   6517, 
/* msg =   2422, deg =  3 */   4470,   6262,   6518, 
/* msg =   2423, deg =  3 */   4471,   6263,   6519, 
/* msg =   2424, deg =  3 */   4472,   6264,   6520, 
/* msg =   2425, deg =  3 */   4473,   6265,   6521, 
/* msg =   2426, deg =  3 */   4474,   6266,   6522, 
/* msg =   2427, deg =  3 */   4475,   6267,   6523, 
/* msg =   2428, deg =  3 */   4476,   6268,   6524, 
/* msg =   2429, deg =  3 */   4477,   6269,   6525, 
/* msg =   2430, deg =  3 */   4478,   6270,   6526, 
/* msg =   2431, deg =  3 */   4479,   6271,   6527, 
/* msg =   2432, deg =  3 */   4480,   6272,   6528, 
/* msg =   2433, deg =  3 */   4481,   6273,   6529, 
/* msg =   2434, deg =  3 */   4482,   6274,   6530, 
/* msg =   2435, deg =  3 */   4483,   6275,   6531, 
/* msg =   2436, deg =  3 */   4484,   6276,   6532, 
/* msg =   2437, deg =  3 */   4485,   6277,   6533, 
/* msg =   2438, deg =  3 */   4486,   6278,   6534, 
/* msg =   2439, deg =  3 */   4487,   6279,   6535, 
/* msg =   2440, deg =  3 */   4488,   6280,   6536, 
/* msg =   2441, deg =  3 */   4489,   6281,   6537, 
/* msg =   2442, deg =  3 */   4490,   6282,   6538, 
/* msg =   2443, deg =  3 */   4491,   6283,   6539, 
/* msg =   2444, deg =  3 */   4492,   6284,   6540, 
/* msg =   2445, deg =  3 */   4493,   6285,   6541, 
/* msg =   2446, deg =  3 */   4494,   6286,   6542, 
/* msg =   2447, deg =  3 */   4495,   6287,   6543, 
/* msg =   2448, deg =  3 */   4496,   6288,   6544, 
/* msg =   2449, deg =  3 */   4497,   6289,   6545, 
/* msg =   2450, deg =  3 */   4498,   6290,   6546, 
/* msg =   2451, deg =  3 */   4499,   6291,   6547, 
/* msg =   2452, deg =  3 */   4500,   6292,   6548, 
/* msg =   2453, deg =  3 */   4501,   6293,   6549, 
/* msg =   2454, deg =  3 */   4502,   6294,   6550, 
/* msg =   2455, deg =  3 */   4503,   6295,   6551, 
/* msg =   2456, deg =  3 */   4504,   6296,   6552, 
/* msg =   2457, deg =  3 */   4505,   6297,   6553, 
/* msg =   2458, deg =  3 */   4506,   6298,   6554, 
/* msg =   2459, deg =  3 */   4507,   6299,   6555, 
/* msg =   2460, deg =  3 */   4508,   6300,   6556, 
/* msg =   2461, deg =  3 */   4509,   6301,   6557, 
/* msg =   2462, deg =  3 */   4510,   6302,   6558, 
/* msg =   2463, deg =  3 */   4511,   6303,   6559, 
/* msg =   2464, deg =  3 */   4512,   6304,   6560, 
/* msg =   2465, deg =  3 */   4513,   6305,   6561, 
/* msg =   2466, deg =  3 */   4514,   6306,   6562, 
/* msg =   2467, deg =  3 */   4515,   6307,   6563, 
/* msg =   2468, deg =  3 */   4516,   6308,   6564, 
/* msg =   2469, deg =  3 */   4517,   6309,   6565, 
/* msg =   2470, deg =  3 */   4518,   6310,   6566, 
/* msg =   2471, deg =  3 */   4519,   6311,   6567, 
/* msg =   2472, deg =  3 */   4520,   6312,   6568, 
/* msg =   2473, deg =  3 */   4521,   6313,   6569, 
/* msg =   2474, deg =  3 */   4522,   6314,   6570, 
/* msg =   2475, deg =  3 */   4523,   6315,   6571, 
/* msg =   2476, deg =  3 */   4524,   6316,   6572, 
/* msg =   2477, deg =  3 */   4525,   6317,   6573, 
/* msg =   2478, deg =  3 */   4526,   6318,   6574, 
/* msg =   2479, deg =  3 */   4527,   6319,   6575, 
/* msg =   2480, deg =  3 */   4528,   6320,   6576, 
/* msg =   2481, deg =  3 */   4529,   6321,   6577, 
/* msg =   2482, deg =  3 */   4530,   6322,   6578, 
/* msg =   2483, deg =  3 */   4531,   6323,   6579, 
/* msg =   2484, deg =  3 */   4532,   6324,   6580, 
/* msg =   2485, deg =  3 */   4533,   6325,   6581, 
/* msg =   2486, deg =  3 */   4534,   6326,   6582, 
/* msg =   2487, deg =  3 */   4535,   6327,   6583, 
/* msg =   2488, deg =  3 */   4536,   6328,   6584, 
/* msg =   2489, deg =  3 */   4537,   6329,   6585, 
/* msg =   2490, deg =  3 */   4538,   6330,   6586, 
/* msg =   2491, deg =  3 */   4539,   6331,   6587, 
/* msg =   2492, deg =  3 */   4540,   6332,   6588, 
/* msg =   2493, deg =  3 */   4541,   6333,   6589, 
/* msg =   2494, deg =  3 */   4542,   6334,   6590, 
/* msg =   2495, deg =  3 */   4543,   6335,   6591, 
/* msg =   2496, deg =  3 */   4544,   6336,   6592, 
/* msg =   2497, deg =  3 */   4545,   6337,   6593, 
/* msg =   2498, deg =  3 */   4546,   6338,   6594, 
/* msg =   2499, deg =  3 */   4547,   6339,   6595, 
/* msg =   2500, deg =  3 */   4548,   6340,   6596, 
/* msg =   2501, deg =  3 */   4549,   6341,   6597, 
/* msg =   2502, deg =  3 */   4550,   6342,   6598, 
/* msg =   2503, deg =  3 */   4551,   6343,   6599, 
/* msg =   2504, deg =  3 */   4552,   6344,   6600, 
/* msg =   2505, deg =  3 */   4553,   6345,   6601, 
/* msg =   2506, deg =  3 */   4554,   6346,   6602, 
/* msg =   2507, deg =  3 */   4555,   6347,   6603, 
/* msg =   2508, deg =  3 */   4556,   6348,   6604, 
/* msg =   2509, deg =  3 */   4557,   6349,   6605, 
/* msg =   2510, deg =  3 */   4558,   6350,   6606, 
/* msg =   2511, deg =  3 */   4559,   6351,   6607, 
/* msg =   2512, deg =  3 */   4560,   6352,   6608, 
/* msg =   2513, deg =  3 */   4561,   6353,   6609, 
/* msg =   2514, deg =  3 */   4562,   6354,   6610, 
/* msg =   2515, deg =  3 */   4563,   6355,   6611, 
/* msg =   2516, deg =  3 */   4564,   6356,   6612, 
/* msg =   2517, deg =  3 */   4565,   6357,   6613, 
/* msg =   2518, deg =  3 */   4566,   6358,   6614, 
/* msg =   2519, deg =  3 */   4567,   6359,   6615, 
/* msg =   2520, deg =  3 */   4568,   6360,   6616, 
/* msg =   2521, deg =  3 */   4569,   6361,   6617, 
/* msg =   2522, deg =  3 */   4570,   6362,   6618, 
/* msg =   2523, deg =  3 */   4571,   6363,   6619, 
/* msg =   2524, deg =  3 */   4572,   6364,   6620, 
/* msg =   2525, deg =  3 */   4573,   6365,   6621, 
/* msg =   2526, deg =  3 */   4574,   6366,   6622, 
/* msg =   2527, deg =  3 */   4575,   6367,   6623, 
/* msg =   2528, deg =  3 */   4576,   6368,   6624, 
/* msg =   2529, deg =  3 */   4577,   6369,   6625, 
/* msg =   2530, deg =  3 */   4578,   6370,   6626, 
/* msg =   2531, deg =  3 */   4579,   6371,   6627, 
/* msg =   2532, deg =  3 */   4580,   6372,   6628, 
/* msg =   2533, deg =  3 */   4581,   6373,   6629, 
/* msg =   2534, deg =  3 */   4582,   6374,   6630, 
/* msg =   2535, deg =  3 */   4583,   6375,   6631, 
/* msg =   2536, deg =  3 */   4584,   6376,   6632, 
/* msg =   2537, deg =  3 */   4585,   6377,   6633, 
/* msg =   2538, deg =  3 */   4586,   6378,   6634, 
/* msg =   2539, deg =  3 */   4587,   6379,   6635, 
/* msg =   2540, deg =  3 */   4588,   6380,   6636, 
/* msg =   2541, deg =  3 */   4589,   6381,   6637, 
/* msg =   2542, deg =  3 */   4590,   6382,   6638, 
/* msg =   2543, deg =  3 */   4591,   6383,   6639, 
/* msg =   2544, deg =  3 */   4592,   6384,   6640, 
/* msg =   2545, deg =  3 */   4593,   6385,   6641, 
/* msg =   2546, deg =  3 */   4594,   6386,   6642, 
/* msg =   2547, deg =  3 */   4595,   6387,   6643, 
/* msg =   2548, deg =  3 */   4596,   6388,   6644, 
/* msg =   2549, deg =  3 */   4597,   6389,   6645, 
/* msg =   2550, deg =  3 */   4598,   6390,   6646, 
/* msg =   2551, deg =  3 */   4599,   6391,   6647, 
/* msg =   2552, deg =  3 */   4600,   6392,   6648, 
/* msg =   2553, deg =  3 */   4601,   6393,   6649, 
/* msg =   2554, deg =  3 */   4602,   6394,   6650, 
/* msg =   2555, deg =  3 */   4603,   6395,   6651, 
/* msg =   2556, deg =  3 */   4604,   6396,   6652, 
/* msg =   2557, deg =  3 */   4605,   6397,   6653, 
/* msg =   2558, deg =  3 */   4606,   6398,   6654, 
/* msg =   2559, deg =  3 */   4607,   6399,   6655, 
/* msg =   2560, deg =  3 */   4608,   6400,   6656, 
/* msg =   2561, deg =  3 */   4609,   6401,   6657, 
/* msg =   2562, deg =  3 */   4610,   6402,   6658, 
/* msg =   2563, deg =  3 */   4611,   6403,   6659, 
/* msg =   2564, deg =  3 */   4612,   6404,   6660, 
/* msg =   2565, deg =  3 */   4613,   6405,   6661, 
/* msg =   2566, deg =  3 */   4614,   6406,   6662, 
/* msg =   2567, deg =  3 */   4615,   6407,   6663, 
/* msg =   2568, deg =  3 */   4616,   6408,   6664, 
/* msg =   2569, deg =  3 */   4617,   6409,   6665, 
/* msg =   2570, deg =  3 */   4618,   6410,   6666, 
/* msg =   2571, deg =  3 */   4619,   6411,   6667, 
/* msg =   2572, deg =  3 */   4620,   6412,   6668, 
/* msg =   2573, deg =  3 */   4621,   6413,   6669, 
/* msg =   2574, deg =  3 */   4622,   6414,   6670, 
/* msg =   2575, deg =  3 */   4623,   6415,   6671, 
/* msg =   2576, deg =  3 */   4624,   6416,   6672, 
/* msg =   2577, deg =  3 */   4625,   6417,   6673, 
/* msg =   2578, deg =  3 */   4626,   6418,   6674, 
/* msg =   2579, deg =  3 */   4627,   6419,   6675, 
/* msg =   2580, deg =  3 */   4628,   6420,   6676, 
/* msg =   2581, deg =  3 */   4629,   6421,   6677, 
/* msg =   2582, deg =  3 */   4630,   6422,   6678, 
/* msg =   2583, deg =  3 */   4631,   6423,   6679, 
/* msg =   2584, deg =  3 */   4632,   6424,   6680, 
/* msg =   2585, deg =  3 */   4633,   6425,   6681, 
/* msg =   2586, deg =  3 */   4634,   6426,   6682, 
/* msg =   2587, deg =  3 */   4635,   6427,   6683, 
/* msg =   2588, deg =  3 */   4636,   6428,   6684, 
/* msg =   2589, deg =  3 */   4637,   6429,   6685, 
/* msg =   2590, deg =  3 */   4638,   6430,   6686, 
/* msg =   2591, deg =  3 */   4639,   6431,   6687, 
/* msg =   2592, deg =  3 */   4640,   6432,   6688, 
/* msg =   2593, deg =  3 */   4641,   6433,   6689, 
/* msg =   2594, deg =  3 */   4642,   6434,   6690, 
/* msg =   2595, deg =  3 */   4643,   6435,   6691, 
/* msg =   2596, deg =  3 */   4644,   6436,   6692, 
/* msg =   2597, deg =  3 */   4645,   6437,   6693, 
/* msg =   2598, deg =  3 */   4646,   6438,   6694, 
/* msg =   2599, deg =  3 */   4647,   6439,   6695, 
/* msg =   2600, deg =  3 */   4648,   6440,   6696, 
/* msg =   2601, deg =  3 */   4649,   6441,   6697, 
/* msg =   2602, deg =  3 */   4650,   6442,   6698, 
/* msg =   2603, deg =  3 */   4651,   6443,   6699, 
/* msg =   2604, deg =  3 */   4652,   6444,   6700, 
/* msg =   2605, deg =  3 */   4653,   6445,   6701, 
/* msg =   2606, deg =  3 */   4654,   6446,   6702, 
/* msg =   2607, deg =  3 */   4655,   6447,   6703, 
/* msg =   2608, deg =  3 */   4656,   6448,   6704, 
/* msg =   2609, deg =  3 */   4657,   6449,   6705, 
/* msg =   2610, deg =  3 */   4658,   6450,   6706, 
/* msg =   2611, deg =  3 */   4659,   6451,   6707, 
/* msg =   2612, deg =  3 */   4660,   6452,   6708, 
/* msg =   2613, deg =  3 */   4661,   6453,   6709, 
/* msg =   2614, deg =  3 */   4662,   6454,   6710, 
/* msg =   2615, deg =  3 */   4663,   6455,   6711, 
/* msg =   2616, deg =  3 */   4664,   6456,   6712, 
/* msg =   2617, deg =  3 */   4665,   6457,   6713, 
/* msg =   2618, deg =  3 */   4666,   6458,   6714, 
/* msg =   2619, deg =  3 */   4667,   6459,   6715, 
/* msg =   2620, deg =  3 */   4668,   6460,   6716, 
/* msg =   2621, deg =  3 */   4669,   6461,   6717, 
/* msg =   2622, deg =  3 */   4670,   6462,   6718, 
/* msg =   2623, deg =  3 */   4671,   6463,   6719, 
/* msg =   2624, deg =  3 */   4672,   6464,   6720, 
/* msg =   2625, deg =  3 */   4673,   6465,   6721, 
/* msg =   2626, deg =  3 */   4674,   6466,   6722, 
/* msg =   2627, deg =  3 */   4675,   6467,   6723, 
/* msg =   2628, deg =  3 */   4676,   6468,   6724, 
/* msg =   2629, deg =  3 */   4677,   6469,   6725, 
/* msg =   2630, deg =  3 */   4678,   6470,   6726, 
/* msg =   2631, deg =  3 */   4679,   6471,   6727, 
/* msg =   2632, deg =  3 */   4680,   6472,   6728, 
/* msg =   2633, deg =  3 */   4681,   6473,   6729, 
/* msg =   2634, deg =  3 */   4682,   6474,   6730, 
/* msg =   2635, deg =  3 */   4683,   6475,   6731, 
/* msg =   2636, deg =  3 */   4684,   6476,   6732, 
/* msg =   2637, deg =  3 */   4685,   6477,   6733, 
/* msg =   2638, deg =  3 */   4686,   6478,   6734, 
/* msg =   2639, deg =  3 */   4687,   6479,   6735, 
/* msg =   2640, deg =  3 */   4688,   6480,   6736, 
/* msg =   2641, deg =  3 */   4689,   6481,   6737, 
/* msg =   2642, deg =  3 */   4690,   6482,   6738, 
/* msg =   2643, deg =  3 */   4691,   6483,   6739, 
/* msg =   2644, deg =  3 */   4692,   6484,   6740, 
/* msg =   2645, deg =  3 */   4693,   6485,   6741, 
/* msg =   2646, deg =  3 */   4694,   6486,   6742, 
/* msg =   2647, deg =  3 */   4695,   6487,   6743, 
/* msg =   2648, deg =  3 */   4696,   6488,   6744, 
/* msg =   2649, deg =  3 */   4697,   6489,   6745, 
/* msg =   2650, deg =  3 */   4698,   6490,   6746, 
/* msg =   2651, deg =  3 */   4699,   6491,   6747, 
/* msg =   2652, deg =  3 */   4700,   6492,   6748, 
/* msg =   2653, deg =  3 */   4701,   6493,   6749, 
/* msg =   2654, deg =  3 */   4702,   6494,   6750, 
/* msg =   2655, deg =  3 */   4703,   6495,   6751, 
/* msg =   2656, deg =  3 */   4704,   6496,   6752, 
/* msg =   2657, deg =  3 */   4705,   6497,   6753, 
/* msg =   2658, deg =  3 */   4706,   6498,   6754, 
/* msg =   2659, deg =  3 */   4707,   6499,   6755, 
/* msg =   2660, deg =  3 */   4708,   6500,   6756, 
/* msg =   2661, deg =  3 */   4709,   6501,   6757, 
/* msg =   2662, deg =  3 */   4710,   6502,   6758, 
/* msg =   2663, deg =  3 */   4711,   6503,   6759, 
/* msg =   2664, deg =  3 */   4712,   6504,   6760, 
/* msg =   2665, deg =  3 */   4713,   6505,   6761, 
/* msg =   2666, deg =  3 */   4714,   6506,   6762, 
/* msg =   2667, deg =  3 */   4715,   6507,   6763, 
/* msg =   2668, deg =  3 */   4716,   6508,   6764, 
/* msg =   2669, deg =  3 */   4717,   6509,   6765, 
/* msg =   2670, deg =  3 */   4718,   6510,   6766, 
/* msg =   2671, deg =  3 */   4719,   6511,   6767, 
/* msg =   2672, deg =  3 */   4720,   6512,   6768, 
/* msg =   2673, deg =  3 */   4721,   6513,   6769, 
/* msg =   2674, deg =  3 */   4722,   6514,   6770, 
/* msg =   2675, deg =  3 */   4723,   6515,   6771, 
/* msg =   2676, deg =  3 */   4724,   6516,   6772, 
/* msg =   2677, deg =  3 */   4725,   6517,   6773, 
/* msg =   2678, deg =  3 */   4726,   6518,   6774, 
/* msg =   2679, deg =  3 */   4727,   6519,   6775, 
/* msg =   2680, deg =  3 */   4728,   6520,   6776, 
/* msg =   2681, deg =  3 */   4729,   6521,   6777, 
/* msg =   2682, deg =  3 */   4730,   6522,   6778, 
/* msg =   2683, deg =  3 */   4731,   6523,   6779, 
/* msg =   2684, deg =  3 */   4732,   6524,   6780, 
/* msg =   2685, deg =  3 */   4733,   6525,   6781, 
/* msg =   2686, deg =  3 */   4734,   6526,   6782, 
/* msg =   2687, deg =  3 */   4735,   6527,   6783, 
/* msg =   2688, deg =  3 */   4736,   6528,   6784, 
/* msg =   2689, deg =  3 */   4737,   6529,   6785, 
/* msg =   2690, deg =  3 */   4738,   6530,   6786, 
/* msg =   2691, deg =  3 */   4739,   6531,   6787, 
/* msg =   2692, deg =  3 */   4740,   6532,   6788, 
/* msg =   2693, deg =  3 */   4741,   6533,   6789, 
/* msg =   2694, deg =  3 */   4742,   6534,   6790, 
/* msg =   2695, deg =  3 */   4743,   6535,   6791, 
/* msg =   2696, deg =  3 */   4744,   6536,   6792, 
/* msg =   2697, deg =  3 */   4745,   6537,   6793, 
/* msg =   2698, deg =  3 */   4746,   6538,   6794, 
/* msg =   2699, deg =  3 */   4747,   6539,   6795, 
/* msg =   2700, deg =  3 */   4748,   6540,   6796, 
/* msg =   2701, deg =  3 */   4749,   6541,   6797, 
/* msg =   2702, deg =  3 */   4750,   6542,   6798, 
/* msg =   2703, deg =  3 */   4751,   6543,   6799, 
/* msg =   2704, deg =  3 */   4752,   6544,   6800, 
/* msg =   2705, deg =  3 */   4753,   6545,   6801, 
/* msg =   2706, deg =  3 */   4754,   6546,   6802, 
/* msg =   2707, deg =  3 */   4755,   6547,   6803, 
/* msg =   2708, deg =  3 */   4756,   6548,   6804, 
/* msg =   2709, deg =  3 */   4757,   6549,   6805, 
/* msg =   2710, deg =  3 */   4758,   6550,   6806, 
/* msg =   2711, deg =  3 */   4759,   6551,   6807, 
/* msg =   2712, deg =  3 */   4760,   6552,   6808, 
/* msg =   2713, deg =  3 */   4761,   6553,   6809, 
/* msg =   2714, deg =  3 */   4762,   6554,   6810, 
/* msg =   2715, deg =  3 */   4763,   6555,   6811, 
/* msg =   2716, deg =  3 */   4764,   6556,   6812, 
/* msg =   2717, deg =  3 */   4765,   6557,   6813, 
/* msg =   2718, deg =  3 */   4766,   6558,   6814, 
/* msg =   2719, deg =  3 */   4767,   6559,   6815, 
/* msg =   2720, deg =  3 */   4768,   6560,   6816, 
/* msg =   2721, deg =  3 */   4769,   6561,   6817, 
/* msg =   2722, deg =  3 */   4770,   6562,   6818, 
/* msg =   2723, deg =  3 */   4771,   6563,   6819, 
/* msg =   2724, deg =  3 */   4772,   6564,   6820, 
/* msg =   2725, deg =  3 */   4773,   6565,   6821, 
/* msg =   2726, deg =  3 */   4774,   6566,   6822, 
/* msg =   2727, deg =  3 */   4775,   6567,   6823, 
/* msg =   2728, deg =  3 */   4776,   6568,   6824, 
/* msg =   2729, deg =  3 */   4777,   6569,   6825, 
/* msg =   2730, deg =  3 */   4778,   6570,   6826, 
/* msg =   2731, deg =  3 */   4779,   6571,   6827, 
/* msg =   2732, deg =  3 */   4780,   6572,   6828, 
/* msg =   2733, deg =  3 */   4781,   6573,   6829, 
/* msg =   2734, deg =  3 */   4782,   6574,   6830, 
/* msg =   2735, deg =  3 */   4783,   6575,   6831, 
/* msg =   2736, deg =  3 */   4784,   6576,   6832, 
/* msg =   2737, deg =  3 */   4785,   6577,   6833, 
/* msg =   2738, deg =  3 */   4786,   6578,   6834, 
/* msg =   2739, deg =  3 */   4787,   6579,   6835, 
/* msg =   2740, deg =  3 */   4788,   6580,   6836, 
/* msg =   2741, deg =  3 */   4789,   6581,   6837, 
/* msg =   2742, deg =  3 */   4790,   6582,   6838, 
/* msg =   2743, deg =  3 */   4791,   6583,   6839, 
/* msg =   2744, deg =  3 */   4792,   6584,   6840, 
/* msg =   2745, deg =  3 */   4793,   6585,   6841, 
/* msg =   2746, deg =  3 */   4794,   6586,   6842, 
/* msg =   2747, deg =  3 */   4795,   6587,   6843, 
/* msg =   2748, deg =  3 */   4796,   6588,   6844, 
/* msg =   2749, deg =  3 */   4797,   6589,   6845, 
/* msg =   2750, deg =  3 */   4798,   6590,   6846, 
/* msg =   2751, deg =  3 */   4799,   6591,   6847, 
/* msg =   2752, deg =  3 */   4800,   6592,   6848, 
/* msg =   2753, deg =  3 */   4801,   6593,   6849, 
/* msg =   2754, deg =  3 */   4802,   6594,   6850, 
/* msg =   2755, deg =  3 */   4803,   6595,   6851, 
/* msg =   2756, deg =  3 */   4804,   6596,   6852, 
/* msg =   2757, deg =  3 */   4805,   6597,   6853, 
/* msg =   2758, deg =  3 */   4806,   6598,   6854, 
/* msg =   2759, deg =  3 */   4807,   6599,   6855, 
/* msg =   2760, deg =  3 */   4808,   6600,   6856, 
/* msg =   2761, deg =  3 */   4809,   6601,   6857, 
/* msg =   2762, deg =  3 */   4810,   6602,   6858, 
/* msg =   2763, deg =  3 */   4811,   6603,   6859, 
/* msg =   2764, deg =  3 */   4812,   6604,   6860, 
/* msg =   2765, deg =  3 */   4813,   6605,   6861, 
/* msg =   2766, deg =  3 */   4814,   6606,   6862, 
/* msg =   2767, deg =  3 */   4815,   6607,   6863, 
/* msg =   2768, deg =  3 */   4816,   6608,   6864, 
/* msg =   2769, deg =  3 */   4817,   6609,   6865, 
/* msg =   2770, deg =  3 */   4818,   6610,   6866, 
/* msg =   2771, deg =  3 */   4819,   6611,   6867, 
/* msg =   2772, deg =  3 */   4820,   6612,   6868, 
/* msg =   2773, deg =  3 */   4821,   6613,   6869, 
/* msg =   2774, deg =  3 */   4822,   6614,   6870, 
/* msg =   2775, deg =  3 */   4823,   6615,   6871, 
/* msg =   2776, deg =  3 */   4824,   6616,   6872, 
/* msg =   2777, deg =  3 */   4825,   6617,   6873, 
/* msg =   2778, deg =  3 */   4826,   6618,   6874, 
/* msg =   2779, deg =  3 */   4827,   6619,   6875, 
/* msg =   2780, deg =  3 */   4828,   6620,   6876, 
/* msg =   2781, deg =  3 */   4829,   6621,   6877, 
/* msg =   2782, deg =  3 */   4830,   6622,   6878, 
/* msg =   2783, deg =  3 */   4831,   6623,   6879, 
/* msg =   2784, deg =  3 */   4832,   6624,   6880, 
/* msg =   2785, deg =  3 */   4833,   6625,   6881, 
/* msg =   2786, deg =  3 */   4834,   6626,   6882, 
/* msg =   2787, deg =  3 */   4835,   6627,   6883, 
/* msg =   2788, deg =  3 */   4836,   6628,   6884, 
/* msg =   2789, deg =  3 */   4837,   6629,   6885, 
/* msg =   2790, deg =  3 */   4838,   6630,   6886, 
/* msg =   2791, deg =  3 */   4839,   6631,   6887, 
/* msg =   2792, deg =  3 */   4840,   6632,   6888, 
/* msg =   2793, deg =  3 */   4841,   6633,   6889, 
/* msg =   2794, deg =  3 */   4842,   6634,   6890, 
/* msg =   2795, deg =  3 */   4843,   6635,   6891, 
/* msg =   2796, deg =  3 */   4844,   6636,   6892, 
/* msg =   2797, deg =  3 */   4845,   6637,   6893, 
/* msg =   2798, deg =  3 */   4846,   6638,   6894, 
/* msg =   2799, deg =  3 */   4847,   6639,   6895, 
/* msg =   2800, deg =  3 */   4848,   6640,   6896, 
/* msg =   2801, deg =  3 */   4849,   6641,   6897, 
/* msg =   2802, deg =  3 */   4850,   6642,   6898, 
/* msg =   2803, deg =  3 */   4851,   6643,   6899, 
/* msg =   2804, deg =  3 */   4852,   6644,   6900, 
/* msg =   2805, deg =  3 */   4853,   6645,   6901, 
/* msg =   2806, deg =  3 */   4854,   6646,   6902, 
/* msg =   2807, deg =  3 */   4855,   6647,   6903, 
/* msg =   2808, deg =  3 */   4856,   6648,   6904, 
/* msg =   2809, deg =  3 */   4857,   6649,   6905, 
/* msg =   2810, deg =  3 */   4858,   6650,   6906, 
/* msg =   2811, deg =  3 */   4859,   6651,   6907, 
/* msg =   2812, deg =  3 */   4860,   6652,   6908, 
/* msg =   2813, deg =  3 */   4861,   6653,   6909, 
/* msg =   2814, deg =  3 */   4862,   6654,   6910, 
/* msg =   2815, deg =  3 */   4863,   6655,   6911, 
/* msg =   2816, deg =  3 */   4864,   6656,   6912, 
/* msg =   2817, deg =  3 */   4865,   6657,   6913, 
/* msg =   2818, deg =  3 */   4866,   6658,   6914, 
/* msg =   2819, deg =  3 */   4867,   6659,   6915, 
/* msg =   2820, deg =  3 */   4868,   6660,   6916, 
/* msg =   2821, deg =  3 */   4869,   6661,   6917, 
/* msg =   2822, deg =  3 */   4870,   6662,   6918, 
/* msg =   2823, deg =  3 */   4871,   6663,   6919, 
/* msg =   2824, deg =  3 */   4872,   6664,   6920, 
/* msg =   2825, deg =  3 */   4873,   6665,   6921, 
/* msg =   2826, deg =  3 */   4874,   6666,   6922, 
/* msg =   2827, deg =  3 */   4875,   6667,   6923, 
/* msg =   2828, deg =  3 */   4876,   6668,   6924, 
/* msg =   2829, deg =  3 */   4877,   6669,   6925, 
/* msg =   2830, deg =  3 */   4878,   6670,   6926, 
/* msg =   2831, deg =  3 */   4879,   6671,   6927, 
/* msg =   2832, deg =  3 */   4880,   6672,   6928, 
/* msg =   2833, deg =  3 */   4881,   6673,   6929, 
/* msg =   2834, deg =  3 */   4882,   6674,   6930, 
/* msg =   2835, deg =  3 */   4883,   6675,   6931, 
/* msg =   2836, deg =  3 */   4884,   6676,   6932, 
/* msg =   2837, deg =  3 */   4885,   6677,   6933, 
/* msg =   2838, deg =  3 */   4886,   6678,   6934, 
/* msg =   2839, deg =  3 */   4887,   6679,   6935, 
/* msg =   2840, deg =  3 */   4888,   6680,   6936, 
/* msg =   2841, deg =  3 */   4889,   6681,   6937, 
/* msg =   2842, deg =  3 */   4890,   6682,   6938, 
/* msg =   2843, deg =  3 */   4891,   6683,   6939, 
/* msg =   2844, deg =  3 */   4892,   6684,   6940, 
/* msg =   2845, deg =  3 */   4893,   6685,   6941, 
/* msg =   2846, deg =  3 */   4894,   6686,   6942, 
/* msg =   2847, deg =  3 */   4895,   6687,   6943, 
/* msg =   2848, deg =  3 */   4896,   6688,   6944, 
/* msg =   2849, deg =  3 */   4897,   6689,   6945, 
/* msg =   2850, deg =  3 */   4898,   6690,   6946, 
/* msg =   2851, deg =  3 */   4899,   6691,   6947, 
/* msg =   2852, deg =  3 */   4900,   6692,   6948, 
/* msg =   2853, deg =  3 */   4901,   6693,   6949, 
/* msg =   2854, deg =  3 */   4902,   6694,   6950, 
/* msg =   2855, deg =  3 */   4903,   6695,   6951, 
/* msg =   2856, deg =  3 */   4904,   6696,   6952, 
/* msg =   2857, deg =  3 */   4905,   6697,   6953, 
/* msg =   2858, deg =  3 */   4906,   6698,   6954, 
/* msg =   2859, deg =  3 */   4907,   6699,   6955, 
/* msg =   2860, deg =  3 */   4908,   6700,   6956, 
/* msg =   2861, deg =  3 */   4909,   6701,   6957, 
/* msg =   2862, deg =  3 */   4910,   6702,   6958, 
/* msg =   2863, deg =  3 */   4911,   6703,   6959, 
/* msg =   2864, deg =  3 */   4912,   6704,   6960, 
/* msg =   2865, deg =  3 */   4913,   6705,   6961, 
/* msg =   2866, deg =  3 */   4914,   6706,   6962, 
/* msg =   2867, deg =  3 */   4915,   6707,   6963, 
/* msg =   2868, deg =  3 */   4916,   6708,   6964, 
/* msg =   2869, deg =  3 */   4917,   6709,   6965, 
/* msg =   2870, deg =  3 */   4918,   6710,   6966, 
/* msg =   2871, deg =  3 */   4919,   6711,   6967, 
/* msg =   2872, deg =  3 */   4920,   6712,   6968, 
/* msg =   2873, deg =  3 */   4921,   6713,   6969, 
/* msg =   2874, deg =  3 */   4922,   6714,   6970, 
/* msg =   2875, deg =  3 */   4923,   6715,   6971, 
/* msg =   2876, deg =  3 */   4924,   6716,   6972, 
/* msg =   2877, deg =  3 */   4925,   6717,   6973, 
/* msg =   2878, deg =  3 */   4926,   6718,   6974, 
/* msg =   2879, deg =  3 */   4927,   6719,   6975, 
/* msg =   2880, deg =  3 */   4928,   6720,   6976, 
/* msg =   2881, deg =  3 */   4929,   6721,   6977, 
/* msg =   2882, deg =  3 */   4930,   6722,   6978, 
/* msg =   2883, deg =  3 */   4931,   6723,   6979, 
/* msg =   2884, deg =  3 */   4932,   6724,   6980, 
/* msg =   2885, deg =  3 */   4933,   6725,   6981, 
/* msg =   2886, deg =  3 */   4934,   6726,   6982, 
/* msg =   2887, deg =  3 */   4935,   6727,   6983, 
/* msg =   2888, deg =  3 */   4936,   6728,   6984, 
/* msg =   2889, deg =  3 */   4937,   6729,   6985, 
/* msg =   2890, deg =  3 */   4938,   6730,   6986, 
/* msg =   2891, deg =  3 */   4939,   6731,   6987, 
/* msg =   2892, deg =  3 */   4940,   6732,   6988, 
/* msg =   2893, deg =  3 */   4941,   6733,   6989, 
/* msg =   2894, deg =  3 */   4942,   6734,   6990, 
/* msg =   2895, deg =  3 */   4943,   6735,   6991, 
/* msg =   2896, deg =  3 */   4944,   6736,   6992, 
/* msg =   2897, deg =  3 */   4945,   6737,   6993, 
/* msg =   2898, deg =  3 */   4946,   6738,   6994, 
/* msg =   2899, deg =  3 */   4947,   6739,   6995, 
/* msg =   2900, deg =  3 */   4948,   6740,   6996, 
/* msg =   2901, deg =  3 */   4949,   6741,   6997, 
/* msg =   2902, deg =  3 */   4950,   6742,   6998, 
/* msg =   2903, deg =  3 */   4951,   6743,   6999, 
/* msg =   2904, deg =  3 */   4952,   6744,   7000, 
/* msg =   2905, deg =  3 */   4953,   6745,   7001, 
/* msg =   2906, deg =  3 */   4954,   6746,   7002, 
/* msg =   2907, deg =  3 */   4955,   6747,   7003, 
/* msg =   2908, deg =  3 */   4956,   6748,   7004, 
/* msg =   2909, deg =  3 */   4957,   6749,   7005, 
/* msg =   2910, deg =  3 */   4958,   6750,   7006, 
/* msg =   2911, deg =  3 */   4959,   6751,   7007, 
/* msg =   2912, deg =  3 */   4960,   6752,   7008, 
/* msg =   2913, deg =  3 */   4961,   6753,   7009, 
/* msg =   2914, deg =  3 */   4962,   6754,   7010, 
/* msg =   2915, deg =  3 */   4963,   6755,   7011, 
/* msg =   2916, deg =  3 */   4964,   6756,   7012, 
/* msg =   2917, deg =  3 */   4965,   6757,   7013, 
/* msg =   2918, deg =  3 */   4966,   6758,   7014, 
/* msg =   2919, deg =  3 */   4967,   6759,   7015, 
/* msg =   2920, deg =  3 */   4968,   6760,   7016, 
/* msg =   2921, deg =  3 */   4969,   6761,   7017, 
/* msg =   2922, deg =  3 */   4970,   6762,   7018, 
/* msg =   2923, deg =  3 */   4971,   6763,   7019, 
/* msg =   2924, deg =  3 */   4972,   6764,   7020, 
/* msg =   2925, deg =  3 */   4973,   6765,   7021, 
/* msg =   2926, deg =  3 */   4974,   6766,   7022, 
/* msg =   2927, deg =  3 */   4975,   6767,   7023, 
/* msg =   2928, deg =  3 */   4976,   6768,   7024, 
/* msg =   2929, deg =  3 */   4977,   6769,   7025, 
/* msg =   2930, deg =  3 */   4978,   6770,   7026, 
/* msg =   2931, deg =  3 */   4979,   6771,   7027, 
/* msg =   2932, deg =  3 */   4980,   6772,   7028, 
/* msg =   2933, deg =  3 */   4981,   6773,   7029, 
/* msg =   2934, deg =  3 */   4982,   6774,   7030, 
/* msg =   2935, deg =  3 */   4983,   6775,   7031, 
/* msg =   2936, deg =  3 */   4984,   6776,   7032, 
/* msg =   2937, deg =  3 */   4985,   6777,   7033, 
/* msg =   2938, deg =  3 */   4986,   6778,   7034, 
/* msg =   2939, deg =  3 */   4987,   6779,   7035, 
/* msg =   2940, deg =  3 */   4988,   6780,   7036, 
/* msg =   2941, deg =  3 */   4989,   6781,   7037, 
/* msg =   2942, deg =  3 */   4990,   6782,   7038, 
/* msg =   2943, deg =  3 */   4991,   6783,   7039, 
/* msg =   2944, deg =  3 */   4992,   6784,   7040, 
/* msg =   2945, deg =  3 */   4993,   6785,   7041, 
/* msg =   2946, deg =  3 */   4994,   6786,   7042, 
/* msg =   2947, deg =  3 */   4995,   6787,   7043, 
/* msg =   2948, deg =  3 */   4996,   6788,   7044, 
/* msg =   2949, deg =  3 */   4997,   6789,   7045, 
/* msg =   2950, deg =  3 */   4998,   6790,   7046, 
/* msg =   2951, deg =  3 */   4999,   6791,   7047, 
/* msg =   2952, deg =  3 */   5000,   6792,   7048, 
/* msg =   2953, deg =  3 */   5001,   6793,   7049, 
/* msg =   2954, deg =  3 */   5002,   6794,   7050, 
/* msg =   2955, deg =  3 */   5003,   6795,   7051, 
/* msg =   2956, deg =  3 */   5004,   6796,   7052, 
/* msg =   2957, deg =  3 */   5005,   6797,   7053, 
/* msg =   2958, deg =  3 */   5006,   6798,   7054, 
/* msg =   2959, deg =  3 */   5007,   6799,   7055, 
/* msg =   2960, deg =  3 */   5008,   6800,   7056, 
/* msg =   2961, deg =  3 */   5009,   6801,   7057, 
/* msg =   2962, deg =  3 */   5010,   6802,   7058, 
/* msg =   2963, deg =  3 */   5011,   6803,   7059, 
/* msg =   2964, deg =  3 */   5012,   6804,   7060, 
/* msg =   2965, deg =  3 */   5013,   6805,   7061, 
/* msg =   2966, deg =  3 */   5014,   6806,   7062, 
/* msg =   2967, deg =  3 */   5015,   6807,   7063, 
/* msg =   2968, deg =  3 */   5016,   6808,   7064, 
/* msg =   2969, deg =  3 */   5017,   6809,   7065, 
/* msg =   2970, deg =  3 */   5018,   6810,   7066, 
/* msg =   2971, deg =  3 */   5019,   6811,   7067, 
/* msg =   2972, deg =  3 */   5020,   6812,   7068, 
/* msg =   2973, deg =  3 */   5021,   6813,   7069, 
/* msg =   2974, deg =  3 */   5022,   6814,   7070, 
/* msg =   2975, deg =  3 */   5023,   6815,   7071, 
/* msg =   2976, deg =  3 */   5024,   6816,   7072, 
/* msg =   2977, deg =  3 */   5025,   6817,   7073, 
/* msg =   2978, deg =  3 */   5026,   6818,   7074, 
/* msg =   2979, deg =  3 */   5027,   6819,   7075, 
/* msg =   2980, deg =  3 */   5028,   6820,   7076, 
/* msg =   2981, deg =  3 */   5029,   6821,   7077, 
/* msg =   2982, deg =  3 */   5030,   6822,   7078, 
/* msg =   2983, deg =  3 */   5031,   6823,   7079, 
/* msg =   2984, deg =  3 */   5032,   6824,   7080, 
/* msg =   2985, deg =  3 */   5033,   6825,   7081, 
/* msg =   2986, deg =  3 */   5034,   6826,   7082, 
/* msg =   2987, deg =  3 */   5035,   6827,   7083, 
/* msg =   2988, deg =  3 */   5036,   6828,   7084, 
/* msg =   2989, deg =  3 */   5037,   6829,   7085, 
/* msg =   2990, deg =  3 */   5038,   6830,   7086, 
/* msg =   2991, deg =  3 */   5039,   6831,   7087, 
/* msg =   2992, deg =  3 */   5040,   6832,   7088, 
/* msg =   2993, deg =  3 */   5041,   6833,   7089, 
/* msg =   2994, deg =  3 */   5042,   6834,   7090, 
/* msg =   2995, deg =  3 */   5043,   6835,   7091, 
/* msg =   2996, deg =  3 */   5044,   6836,   7092, 
/* msg =   2997, deg =  3 */   5045,   6837,   7093, 
/* msg =   2998, deg =  3 */   5046,   6838,   7094, 
/* msg =   2999, deg =  3 */   5047,   6839,   7095, 
/* msg =   3000, deg =  3 */   5048,   6840,   7096, 
/* msg =   3001, deg =  3 */   5049,   6841,   7097, 
/* msg =   3002, deg =  3 */   5050,   6842,   7098, 
/* msg =   3003, deg =  3 */   5051,   6843,   7099, 
/* msg =   3004, deg =  3 */   5052,   6844,   7100, 
/* msg =   3005, deg =  3 */   5053,   6845,   7101, 
/* msg =   3006, deg =  3 */   5054,   6846,   7102, 
/* msg =   3007, deg =  3 */   5055,   6847,   7103, 
/* msg =   3008, deg =  3 */   5056,   6848,   7104, 
/* msg =   3009, deg =  3 */   5057,   6849,   7105, 
/* msg =   3010, deg =  3 */   5058,   6850,   7106, 
/* msg =   3011, deg =  3 */   5059,   6851,   7107, 
/* msg =   3012, deg =  3 */   5060,   6852,   7108, 
/* msg =   3013, deg =  3 */   5061,   6853,   7109, 
/* msg =   3014, deg =  3 */   5062,   6854,   7110, 
/* msg =   3015, deg =  3 */   5063,   6855,   7111, 
/* msg =   3016, deg =  3 */   5064,   6856,   7112, 
/* msg =   3017, deg =  3 */   5065,   6857,   7113, 
/* msg =   3018, deg =  3 */   5066,   6858,   7114, 
/* msg =   3019, deg =  3 */   5067,   6859,   7115, 
/* msg =   3020, deg =  3 */   5068,   6860,   7116, 
/* msg =   3021, deg =  3 */   5069,   6861,   7117, 
/* msg =   3022, deg =  3 */   5070,   6862,   7118, 
/* msg =   3023, deg =  3 */   5071,   6863,   7119, 
/* msg =   3024, deg =  3 */   5072,   6864,   7120, 
/* msg =   3025, deg =  3 */   5073,   6865,   7121, 
/* msg =   3026, deg =  3 */   5074,   6866,   7122, 
/* msg =   3027, deg =  3 */   5075,   6867,   7123, 
/* msg =   3028, deg =  3 */   5076,   6868,   7124, 
/* msg =   3029, deg =  3 */   5077,   6869,   7125, 
/* msg =   3030, deg =  3 */   5078,   6870,   7126, 
/* msg =   3031, deg =  3 */   5079,   6871,   7127, 
/* msg =   3032, deg =  3 */   5080,   6872,   7128, 
/* msg =   3033, deg =  3 */   5081,   6873,   7129, 
/* msg =   3034, deg =  3 */   5082,   6874,   7130, 
/* msg =   3035, deg =  3 */   5083,   6875,   7131, 
/* msg =   3036, deg =  3 */   5084,   6876,   7132, 
/* msg =   3037, deg =  3 */   5085,   6877,   7133, 
/* msg =   3038, deg =  3 */   5086,   6878,   7134, 
/* msg =   3039, deg =  3 */   5087,   6879,   7135, 
/* msg =   3040, deg =  3 */   5088,   6880,   7136, 
/* msg =   3041, deg =  3 */   5089,   6881,   7137, 
/* msg =   3042, deg =  3 */   5090,   6882,   7138, 
/* msg =   3043, deg =  3 */   5091,   6883,   7139, 
/* msg =   3044, deg =  3 */   5092,   6884,   7140, 
/* msg =   3045, deg =  3 */   5093,   6885,   7141, 
/* msg =   3046, deg =  3 */   5094,   6886,   7142, 
/* msg =   3047, deg =  3 */   5095,   6887,   7143, 
/* msg =   3048, deg =  3 */   5096,   6888,   7144, 
/* msg =   3049, deg =  3 */   5097,   6889,   7145, 
/* msg =   3050, deg =  3 */   5098,   6890,   7146, 
/* msg =   3051, deg =  3 */   5099,   6891,   7147, 
/* msg =   3052, deg =  3 */   5100,   6892,   7148, 
/* msg =   3053, deg =  3 */   5101,   6893,   7149, 
/* msg =   3054, deg =  3 */   5102,   6894,   7150, 
/* msg =   3055, deg =  3 */   5103,   6895,   7151, 
/* msg =   3056, deg =  3 */   5104,   6896,   7152, 
/* msg =   3057, deg =  3 */   5105,   6897,   7153, 
/* msg =   3058, deg =  3 */   5106,   6898,   7154, 
/* msg =   3059, deg =  3 */   5107,   6899,   7155, 
/* msg =   3060, deg =  3 */   5108,   6900,   7156, 
/* msg =   3061, deg =  3 */   5109,   6901,   7157, 
/* msg =   3062, deg =  3 */   5110,   6902,   7158, 
/* msg =   3063, deg =  3 */   5111,   6903,   7159, 
/* msg =   3064, deg =  3 */   5112,   6904,   7160, 
/* msg =   3065, deg =  3 */   5113,   6905,   7161, 
/* msg =   3066, deg =  3 */   5114,   6906,   7162, 
/* msg =   3067, deg =  3 */   5115,   6907,   7163, 
/* msg =   3068, deg =  3 */   5116,   6908,   7164, 
/* msg =   3069, deg =  3 */   5117,   6909,   7165, 
/* msg =   3070, deg =  3 */   5118,   6910,   7166, 
/* msg =   3071, deg =  3 */   5119,   6911,   7167
};
#endif

